Greatest Common Factor of 837/797, 1792/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 837/797, 1792/565

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 837/797,1792/565

Given fractions are 837/797,1792/565

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 837,1792

Greatest Common Factor of Numerators i.e. GCF of 837,1792 is 1 .

LCM of Denominators means LCM of 797,565 as per the given fractions.

LCM of 797,565 is 450305 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 837,1792

GCF of Fractions 837/797,1792/565 is 1/450305

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 837,1792 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,1792 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 1792

List of positive integer factors of 1792 that divides 1792 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,896,1792

Greatest Common Factor

We found the factors 837,1792 . The biggest common factor number is the GCF number.
So the greatest common factor 837,1792 is 1.

Lets's calculate LCM of 797,565

Given numbers has no common factors except 1. So, there LCM is their product i.e 450305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/450305

Therefore, the GCF of Fractions 837/797,1792/565 is 1/450305

Least Common Multiple of 797,565 with GCF Formula

Least Common Multiple of 797,565 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 797,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,565) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(797,565) x common factors =1 x 1 = 1

LCM(797,565) = ( 797 × 565 ) / 1

LCM(797,565) = 450305 / 1

LCM(797,565) = 450305


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 837/797, 1792/565

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 837/797, 1792/565?

Answer: GCF of Numerators as per given numbers 837/797, 1792/565 is

GCF of Numerators i.e. for 837,1792 is 1

LCM of denominators i.e. for 797,565 is 450305.

Thus, GCF of Fractions is 1/450305.Finally, GCF of Fractions for 837/797, 1792/565 is 1/450305.