Greatest Common Factor of 504/86, 869/21, 527/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/86, 869/21, 527/357

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 504/86,869/21,527/357

Given fractions are 504/86,869/21,527/357

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 504,869,527

Greatest Common Factor of Numerators i.e. GCF of 504,869,527 is 1 .

LCM of Denominators means LCM of 86,21,357 as per the given fractions.

LCM of 86,21,357 is 30702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,869,527

GCF of Fractions 504/86,869/21,527/357 is 1/30702

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

Greatest Common Factor of 504,869,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,869,527 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 504,869,527 . The biggest common factor number is the GCF number.
So the greatest common factor 504,869,527 is 1.

Lets's calculate LCM of 86,21,357

3 86, 21, 357
7 86, 7, 119
86, 1, 17

∴ So the LCM of the given numbers is 3 x 7 x 86 x 1 x 17 = 30702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30702

Therefore, the GCF of Fractions 504/86,869/21,527/357 is 1/30702

Least Common Multiple of 86,21,357 with GCF Formula

Least Common Multiple of 86,21,357 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 86,21,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,21,357) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(86,21,357) x common factors =1 x 21 = 21

LCM(86,21,357) = ( 86 × 21 × 357 ) / 21

LCM(86,21,357) = 644742 / 21

LCM(86,21,357) = 30702


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 504/86, 869/21, 527/357

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 504/86, 869/21, 527/357?

Answer: GCF of Numerators as per given numbers 504/86, 869/21, 527/357 is

GCF of Numerators i.e. for 504,869,527 is 1

LCM of denominators i.e. for 86,21,357 is 30702.

Thus, GCF of Fractions is 1/30702.Finally, GCF of Fractions for 504/86, 869/21, 527/357 is 1/30702.