Greatest Common Factor of 121/84, 770/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 121/84, 770/524

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 121/84,770/524

Given fractions are 121/84,770/524

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 121,770

Greatest Common Factor of Numerators i.e. GCF of 121,770 is 11 .

LCM of Denominators means LCM of 84,524 as per the given fractions.

LCM of 84,524 is 11004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 121,770

GCF of Fractions 121/84,770/524 is 11/11004

11 121, 770
11, 70

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 121,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,770 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 121,770 . The biggest common factor number is the GCF number.
So the greatest common factor 121,770 is 11.

Lets's calculate LCM of 84,524

2 84, 524
2 42, 262
21, 131

∴ So the LCM of the given numbers is 2 x 2 x 21 x 131 = 11004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/11004

Therefore, the GCF of Fractions 121/84,770/524 is 11/11004

Least Common Multiple of 84,524 with GCF Formula

Least Common Multiple of 84,524 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 84,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,524) = 4

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

GCF(84,524) x common factors =4 x 1 = 4

LCM(84,524) = ( 84 × 524 ) / 4

LCM(84,524) = 44016 / 4

LCM(84,524) = 11004


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 121/84, 770/524

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 121/84, 770/524?

Answer: GCF of Numerators as per given numbers 121/84, 770/524 is

GCF of Numerators i.e. for 121,770 is 11

LCM of denominators i.e. for 84,524 is 11004.

Thus, GCF of Fractions is 11/11004.Finally, GCF of Fractions for 121/84, 770/524 is 11/11004.