Greatest Common Factor of 77/519, 252/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/519, 252/880

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 77/519,252/880

Given fractions are 77/519,252/880

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 77,252

Greatest Common Factor of Numerators i.e. GCF of 77,252 is 7 .

LCM of Denominators means LCM of 519,880 as per the given fractions.

LCM of 519,880 is 456720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,252

GCF of Fractions 77/519,252/880 is 7/456720

7 77, 252
11, 36

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

Greatest Common Factor of 77,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,252 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 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 77,252 . The biggest common factor number is the GCF number.
So the greatest common factor 77,252 is 7.

Lets's calculate LCM of 519,880

Given numbers has no common factors except 1. So, there LCM is their product i.e 456720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/456720

Therefore, the GCF of Fractions 77/519,252/880 is 7/456720

Least Common Multiple of 519,880 with GCF Formula

Least Common Multiple of 519,880 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 519,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,880) = 1

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

GCF(519,880) x common factors =1 x 1 = 1

LCM(519,880) = ( 519 × 880 ) / 1

LCM(519,880) = 456720 / 1

LCM(519,880) = 456720


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 77/519, 252/880

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 77/519, 252/880?

Answer: GCF of Numerators as per given numbers 77/519, 252/880 is

GCF of Numerators i.e. for 77,252 is 7

LCM of denominators i.e. for 519,880 is 456720.

Thus, GCF of Fractions is 7/456720.Finally, GCF of Fractions for 77/519, 252/880 is 7/456720.