Question

Find the greatest number that will exactly division divide 840 and 2296

Answer 1

The given numbers are 840 and 2296.

We need to find the greatest number that can divide both the numbers 840 and 2296.

so we will find the greatest common factor of the two numbers.

We can use divison method: 2296/840 , quotient = 2, remainder = 2296-2*840=616

so 840/616, quotient = 1, remainder = 840-616= 224

so 616/224, quotient = 2, remainder = 616-2*224= 168

so 224/168, quotinet =1, remainder = 224-168= 56

So 168/56, quotient =3, remainder =0

So the greatest number is 56 that will exactly divide 840 and 2296