Greatest Common Factor of 52/620, 592/476, 754/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/620, 592/476, 754/474

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 52/620,592/476,754/474

Given fractions are 52/620,592/476,754/474

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 52,592,754

Greatest Common Factor of Numerators i.e. GCF of 52,592,754 is 2 .

LCM of Denominators means LCM of 620,476,474 as per the given fractions.

LCM of 620,476,474 is 17485860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,592,754

GCF of Fractions 52/620,592/476,754/474 is 2/17485860

2 52, 592, 754
26, 296, 377

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

Greatest Common Factor of 52,592,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,592,754 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 52,592,754 . The biggest common factor number is the GCF number.
So the greatest common factor 52,592,754 is 2.

Lets's calculate LCM of 620,476,474

2 620, 476, 474
2 310, 238, 237
155, 119, 237

∴ So the LCM of the given numbers is 2 x 2 x 155 x 119 x 237 = 17485860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17485860

Therefore, the GCF of Fractions 52/620,592/476,754/474 is 2/17485860

Least Common Multiple of 620,476,474 with GCF Formula

Least Common Multiple of 620,476,474 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 620,476,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,476,474) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(620,476,474) x common factors =2 x 4 = 8

LCM(620,476,474) = ( 620 × 476 × 474 ) / 8

LCM(620,476,474) = 139886880 / 8

LCM(620,476,474) = 17485860


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 52/620, 592/476, 754/474

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 52/620, 592/476, 754/474?

Answer: GCF of Numerators as per given numbers 52/620, 592/476, 754/474 is

GCF of Numerators i.e. for 52,592,754 is 2

LCM of denominators i.e. for 620,476,474 is 17485860.

Thus, GCF of Fractions is 2/17485860.Finally, GCF of Fractions for 52/620, 592/476, 754/474 is 2/17485860.