Greatest Common Factor of 70/368, 460/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/368, 460/543

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 70/368,460/543

Given fractions are 70/368,460/543

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 70,460

Greatest Common Factor of Numerators i.e. GCF of 70,460 is 10 .

LCM of Denominators means LCM of 368,543 as per the given fractions.

LCM of 368,543 is 199824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,460

GCF of Fractions 70/368,460/543 is 10/199824

2 70, 460
5 35, 230
7, 46

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

Greatest Common Factor of 70,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,460 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 70,460 . The biggest common factor number is the GCF number.
So the greatest common factor 70,460 is 10.

Lets's calculate LCM of 368,543

Given numbers has no common factors except 1. So, there LCM is their product i.e 199824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/199824

Therefore, the GCF of Fractions 70/368,460/543 is 10/199824

Least Common Multiple of 368,543 with GCF Formula

Least Common Multiple of 368,543 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 368,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,543) = 1

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

GCF(368,543) x common factors =1 x 1 = 1

LCM(368,543) = ( 368 × 543 ) / 1

LCM(368,543) = 199824 / 1

LCM(368,543) = 199824


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 70/368, 460/543

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 70/368, 460/543?

Answer: GCF of Numerators as per given numbers 70/368, 460/543 is

GCF of Numerators i.e. for 70,460 is 10

LCM of denominators i.e. for 368,543 is 199824.

Thus, GCF of Fractions is 10/199824.Finally, GCF of Fractions for 70/368, 460/543 is 10/199824.