Greatest Common Factor of 710/336, 840/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/336, 840/502

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 710/336,840/502

Given fractions are 710/336,840/502

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 710,840

Greatest Common Factor of Numerators i.e. GCF of 710,840 is 10 .

LCM of Denominators means LCM of 336,502 as per the given fractions.

LCM of 336,502 is 84336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,840

GCF of Fractions 710/336,840/502 is 10/84336

2 710, 840
5 355, 420
71, 84

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 710,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,840 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 710,840 . The biggest common factor number is the GCF number.
So the greatest common factor 710,840 is 10.

Lets's calculate LCM of 336,502

2 336, 502
168, 251

∴ So the LCM of the given numbers is 2 x 168 x 251 = 84336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/84336

Therefore, the GCF of Fractions 710/336,840/502 is 10/84336

Least Common Multiple of 336,502 with GCF Formula

Least Common Multiple of 336,502 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 336,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,502) = 2

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

GCF(336,502) x common factors =2 x 1 = 2

LCM(336,502) = ( 336 × 502 ) / 2

LCM(336,502) = 168672 / 2

LCM(336,502) = 84336


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 710/336, 840/502

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 710/336, 840/502?

Answer: GCF of Numerators as per given numbers 710/336, 840/502 is

GCF of Numerators i.e. for 710,840 is 10

LCM of denominators i.e. for 336,502 is 84336.

Thus, GCF of Fractions is 10/84336.Finally, GCF of Fractions for 710/336, 840/502 is 10/84336.