Greatest Common Factor of 1792/10, 7696/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1792/10, 7696/461

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 1792/10,7696/461

Given fractions are 1792/10,7696/461

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 1792,7696

Greatest Common Factor of Numerators i.e. GCF of 1792,7696 is 16 .

LCM of Denominators means LCM of 10,461 as per the given fractions.

LCM of 10,461 is 4610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1792,7696

GCF of Fractions 1792/10,7696/461 is 16/4610

2 1792, 7696
2 896, 3848
2 448, 1924
2 224, 962
112, 481

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 1792,7696 By Matching Biggest Common Factor Method

Greatest Common Factor of 1792,7696 By Matching Biggest Common Factor Method

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

Factors of 7696

List of positive integer factors of 7696 that divides 7696 without a remainder.

1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696

Greatest Common Factor

We found the factors 1792,7696 . The biggest common factor number is the GCF number.
So the greatest common factor 1792,7696 is 16.

Lets's calculate LCM of 10,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 4610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4610

Therefore, the GCF of Fractions 1792/10,7696/461 is 16/4610

Least Common Multiple of 10,461 with GCF Formula

Least Common Multiple of 10,461 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 10,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,461) = 1

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

GCF(10,461) x common factors =1 x 1 = 1

LCM(10,461) = ( 10 × 461 ) / 1

LCM(10,461) = 4610 / 1

LCM(10,461) = 4610


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 1792/10, 7696/461

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 1792/10, 7696/461?

Answer: GCF of Numerators as per given numbers 1792/10, 7696/461 is

GCF of Numerators i.e. for 1792,7696 is 16

LCM of denominators i.e. for 10,461 is 4610.

Thus, GCF of Fractions is 16/4610.Finally, GCF of Fractions for 1792/10, 7696/461 is 16/4610.