Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively

Step-by-step explanation:

Chicken wing

Chicken wing

Hot dog and baloney

Chicken and macaroni

Chilling with my homies

Chicken wing

Chicken wing

Everybody come and sing

All the homies are the kings

In this land of make believe

So gather 'round

And guess what's up

It's a party kid

So lighten up

Fool me once, and shame on me

Fool me twice, it's a chicken wing

Chicken wing

Chicken wing

Hot dog and baloney

Chicken and macaroni

Chilling with my homies

Chicken wing

Chicken wing

Everybody come and sing

All the homies are the kings

In this land of make believe

So gather 'round

And guess what's up

It's a party kid

So lighten up

Fool me once, and shame on me

Fool me twice, it's a chicken wing

17

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

nope.   happens to me as well.

-aparri