Greatest Common Factor of 8/14, 36/31, 48/564, 473/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/14, 36/31, 48/564, 473/571

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 8/14,36/31,48/564,473/571

Given fractions are 8/14,36/31,48/564,473/571

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 8,36,48,473

Greatest Common Factor of Numerators i.e. GCF of 8,36,48,473 is 1 .

LCM of Denominators means LCM of 14,31,564,571 as per the given fractions.

LCM of 14,31,564,571 is 69883548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,36,48,473

GCF of Fractions 8/14,36/31,48/564,473/571 is 1/69883548

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

Greatest Common Factor of 8,36,48,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,36,48,473 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 8,36,48,473 . The biggest common factor number is the GCF number.
So the greatest common factor 8,36,48,473 is 1.

Lets's calculate LCM of 14,31,564,571

2 14, 31, 564, 571
7, 31, 282, 571

∴ So the LCM of the given numbers is 2 x 7 x 31 x 282 x 571 = 69883548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69883548

Therefore, the GCF of Fractions 8/14,36/31,48/564,473/571 is 1/69883548

Least Common Multiple of 14,31,564,571 with GCF Formula

Least Common Multiple of 14,31,564,571 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 14,31,564,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,31,564,571) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,31,564,571) x common factors =1 x 2 = 2

LCM(14,31,564,571) = ( 14 × 31 × 564 × 571 ) / 2

LCM(14,31,564,571) = 139767096 / 2

LCM(14,31,564,571) = 69883548


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 8/14, 36/31, 48/564, 473/571

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 8/14, 36/31, 48/564, 473/571?

Answer: GCF of Numerators as per given numbers 8/14, 36/31, 48/564, 473/571 is

GCF of Numerators i.e. for 8,36,48,473 is 1

LCM of denominators i.e. for 14,31,564,571 is 69883548.

Thus, GCF of Fractions is 1/69883548.Finally, GCF of Fractions for 8/14, 36/31, 48/564, 473/571 is 1/69883548.