Greatest Common Factor of 95/420, 530/973, 710/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/420, 530/973, 710/349

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 95/420,530/973,710/349

Given fractions are 95/420,530/973,710/349

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 95,530,710

Greatest Common Factor of Numerators i.e. GCF of 95,530,710 is 5 .

LCM of Denominators means LCM of 420,973,349 as per the given fractions.

LCM of 420,973,349 is 20374620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,530,710

GCF of Fractions 95/420,530/973,710/349 is 5/20374620

5 95, 530, 710
19, 106, 142

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 95,530,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,530,710 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 710

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

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

Greatest Common Factor

We found the factors 95,530,710 . The biggest common factor number is the GCF number.
So the greatest common factor 95,530,710 is 5.

Lets's calculate LCM of 420,973,349

7 420, 973, 349
60, 139, 349

∴ So the LCM of the given numbers is 7 x 60 x 139 x 349 = 20374620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20374620

Therefore, the GCF of Fractions 95/420,530/973,710/349 is 5/20374620

Least Common Multiple of 420,973,349 with GCF Formula

Least Common Multiple of 420,973,349 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 420,973,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,973,349) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(420,973,349) x common factors =1 x 7 = 7

LCM(420,973,349) = ( 420 × 973 × 349 ) / 7

LCM(420,973,349) = 142622340 / 7

LCM(420,973,349) = 20374620


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 95/420, 530/973, 710/349

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 95/420, 530/973, 710/349?

Answer: GCF of Numerators as per given numbers 95/420, 530/973, 710/349 is

GCF of Numerators i.e. for 95,530,710 is 5

LCM of denominators i.e. for 420,973,349 is 20374620.

Thus, GCF of Fractions is 5/20374620.Finally, GCF of Fractions for 95/420, 530/973, 710/349 is 5/20374620.