Greatest Common Factor of 77/554, 714/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/554, 714/484

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 77/554,714/484

Given fractions are 77/554,714/484

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 77,714

Greatest Common Factor of Numerators i.e. GCF of 77,714 is 7 .

LCM of Denominators means LCM of 554,484 as per the given fractions.

LCM of 554,484 is 134068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,714

GCF of Fractions 77/554,714/484 is 7/134068

7 77, 714
11, 102

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 77,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,714 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 77,714 . The biggest common factor number is the GCF number.
So the greatest common factor 77,714 is 7.

Lets's calculate LCM of 554,484

2 554, 484
277, 242

∴ So the LCM of the given numbers is 2 x 277 x 242 = 134068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/134068

Therefore, the GCF of Fractions 77/554,714/484 is 7/134068

Least Common Multiple of 554,484 with GCF Formula

Least Common Multiple of 554,484 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 554,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,484) = 2

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

GCF(554,484) x common factors =2 x 1 = 2

LCM(554,484) = ( 554 × 484 ) / 2

LCM(554,484) = 268136 / 2

LCM(554,484) = 134068


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 77/554, 714/484

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 77/554, 714/484?

Answer: GCF of Numerators as per given numbers 77/554, 714/484 is

GCF of Numerators i.e. for 77,714 is 7

LCM of denominators i.e. for 554,484 is 134068.

Thus, GCF of Fractions is 7/134068.Finally, GCF of Fractions for 77/554, 714/484 is 7/134068.