Greatest Common Factor of 7922/926, 4708/1210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7922/926, 4708/1210

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 7922/926,4708/1210

Given fractions are 7922/926,4708/1210

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 7922,4708

Greatest Common Factor of Numerators i.e. GCF of 7922,4708 is 2 .

LCM of Denominators means LCM of 926,1210 as per the given fractions.

LCM of 926,1210 is 560230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7922,4708

GCF of Fractions 7922/926,4708/1210 is 2/560230

2 7922, 4708
3961, 2354

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

Greatest Common Factor of 7922,4708 By Matching Biggest Common Factor Method

Greatest Common Factor of 7922,4708 By Matching Biggest Common Factor Method

Factors of 7922

List of positive integer factors of 7922 that divides 7922 without a remainder.

1,2,17,34,233,466,3961,7922

Factors of 4708

List of positive integer factors of 4708 that divides 4708 without a remainder.

1,2,4,11,22,44,107,214,428,1177,2354,4708

Greatest Common Factor

We found the factors 7922,4708 . The biggest common factor number is the GCF number.
So the greatest common factor 7922,4708 is 2.

Lets's calculate LCM of 926,1210

2 926, 1210
463, 605

∴ So the LCM of the given numbers is 2 x 463 x 605 = 560230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/560230

Therefore, the GCF of Fractions 7922/926,4708/1210 is 2/560230

Least Common Multiple of 926,1210 with GCF Formula

Least Common Multiple of 926,1210 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 926,1210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,1210) = 2

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

GCF(926,1210) x common factors =2 x 1 = 2

LCM(926,1210) = ( 926 × 1210 ) / 2

LCM(926,1210) = 1120460 / 2

LCM(926,1210) = 560230


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 7922/926, 4708/1210

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 7922/926, 4708/1210?

Answer: GCF of Numerators as per given numbers 7922/926, 4708/1210 is

GCF of Numerators i.e. for 7922,4708 is 2

LCM of denominators i.e. for 926,1210 is 560230.

Thus, GCF of Fractions is 2/560230.Finally, GCF of Fractions for 7922/926, 4708/1210 is 2/560230.