Greatest Common Factor of 52/530, 432/710, 364/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/530, 432/710, 364/614

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 52/530,432/710,364/614

Given fractions are 52/530,432/710,364/614

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 52,432,364

Greatest Common Factor of Numerators i.e. GCF of 52,432,364 is 4 .

LCM of Denominators means LCM of 530,710,614 as per the given fractions.

LCM of 530,710,614 is 11552410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,432,364

GCF of Fractions 52/530,432/710,364/614 is 4/11552410

2 52, 432, 364
2 26, 216, 182
13, 108, 91

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 52,432,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,432,364 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 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 52,432,364 . The biggest common factor number is the GCF number.
So the greatest common factor 52,432,364 is 4.

Lets's calculate LCM of 530,710,614

2 530, 710, 614
5 265, 355, 307
53, 71, 307

∴ So the LCM of the given numbers is 2 x 5 x 53 x 71 x 307 = 11552410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11552410

Therefore, the GCF of Fractions 52/530,432/710,364/614 is 4/11552410

Least Common Multiple of 530,710,614 with GCF Formula

Least Common Multiple of 530,710,614 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 530,710,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,710,614) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(530,710,614) x common factors =2 x 10 = 20

LCM(530,710,614) = ( 530 × 710 × 614 ) / 20

LCM(530,710,614) = 231048200 / 20

LCM(530,710,614) = 11552410


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 52/530, 432/710, 364/614

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 52/530, 432/710, 364/614?

Answer: GCF of Numerators as per given numbers 52/530, 432/710, 364/614 is

GCF of Numerators i.e. for 52,432,364 is 4

LCM of denominators i.e. for 530,710,614 is 11552410.

Thus, GCF of Fractions is 4/11552410.Finally, GCF of Fractions for 52/530, 432/710, 364/614 is 4/11552410.