Greatest Common Factor of 520/77, 634/23, 475/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 520/77, 634/23, 475/74

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 520/77,634/23,475/74

Given fractions are 520/77,634/23,475/74

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 520,634,475

Greatest Common Factor of Numerators i.e. GCF of 520,634,475 is 1 .

LCM of Denominators means LCM of 77,23,74 as per the given fractions.

LCM of 77,23,74 is 131054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,634,475

GCF of Fractions 520/77,634/23,475/74 is 1/131054

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 520,634,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,634,475 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 520,634,475 . The biggest common factor number is the GCF number.
So the greatest common factor 520,634,475 is 1.

Lets's calculate LCM of 77,23,74

Given numbers has no common factors except 1. So, there LCM is their product i.e 131054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131054

Therefore, the GCF of Fractions 520/77,634/23,475/74 is 1/131054

Least Common Multiple of 77,23,74 with GCF Formula

Least Common Multiple of 77,23,74 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 77,23,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,23,74) = 1

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

GCF(77,23,74) x common factors =1 x 1 = 1

LCM(77,23,74) = ( 77 × 23 × 74 ) / 1

LCM(77,23,74) = 131054 / 1

LCM(77,23,74) = 131054


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 520/77, 634/23, 475/74

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 520/77, 634/23, 475/74?

Answer: GCF of Numerators as per given numbers 520/77, 634/23, 475/74 is

GCF of Numerators i.e. for 520,634,475 is 1

LCM of denominators i.e. for 77,23,74 is 131054.

Thus, GCF of Fractions is 1/131054.Finally, GCF of Fractions for 520/77, 634/23, 475/74 is 1/131054.