Greatest Common Factor of 502/660, 629/704, 560/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 502/660, 629/704, 560/470

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 502/660,629/704,560/470

Given fractions are 502/660,629/704,560/470

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 502,629,560

Greatest Common Factor of Numerators i.e. GCF of 502,629,560 is 1 .

LCM of Denominators means LCM of 660,704,470 as per the given fractions.

LCM of 660,704,470 is 496320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 502,629,560

GCF of Fractions 502/660,629/704,560/470 is 1/496320

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

Greatest Common Factor of 502,629,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,629,560 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 502,629,560 . The biggest common factor number is the GCF number.
So the greatest common factor 502,629,560 is 1.

Lets's calculate LCM of 660,704,470

2 660, 704, 470
2 330, 352, 235
5 165, 176, 235
11 33, 176, 47
3, 16, 47

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 3 x 16 x 47 = 496320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496320

Therefore, the GCF of Fractions 502/660,629/704,560/470 is 1/496320

Least Common Multiple of 660,704,470 with GCF Formula

Least Common Multiple of 660,704,470 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 660,704,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,704,470) = 2

common factors(in case of two or more numbers have common factors) = 220

GCF(660,704,470) x common factors =2 x 220 = 440

LCM(660,704,470) = ( 660 × 704 × 470 ) / 440

LCM(660,704,470) = 218380800 / 440

LCM(660,704,470) = 496320


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 502/660, 629/704, 560/470

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 502/660, 629/704, 560/470?

Answer: GCF of Numerators as per given numbers 502/660, 629/704, 560/470 is

GCF of Numerators i.e. for 502,629,560 is 1

LCM of denominators i.e. for 660,704,470 is 496320.

Thus, GCF of Fractions is 1/496320.Finally, GCF of Fractions for 502/660, 629/704, 560/470 is 1/496320.