Greatest Common Factor of 71/19, 76/59, 313/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/19, 76/59, 313/952

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 71/19,76/59,313/952

Given fractions are 71/19,76/59,313/952

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 71,76,313

Greatest Common Factor of Numerators i.e. GCF of 71,76,313 is 1 .

LCM of Denominators means LCM of 19,59,952 as per the given fractions.

LCM of 19,59,952 is 1067192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,76,313

GCF of Fractions 71/19,76/59,313/952 is 1/1067192

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

Greatest Common Factor of 71,76,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,76,313 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 71,76,313 . The biggest common factor number is the GCF number.
So the greatest common factor 71,76,313 is 1.

Lets's calculate LCM of 19,59,952

Given numbers has no common factors except 1. So, there LCM is their product i.e 1067192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1067192

Therefore, the GCF of Fractions 71/19,76/59,313/952 is 1/1067192

Least Common Multiple of 19,59,952 with GCF Formula

Least Common Multiple of 19,59,952 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 19,59,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,59,952) = 1

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

GCF(19,59,952) x common factors =1 x 1 = 1

LCM(19,59,952) = ( 19 × 59 × 952 ) / 1

LCM(19,59,952) = 1067192 / 1

LCM(19,59,952) = 1067192


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 71/19, 76/59, 313/952

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 71/19, 76/59, 313/952?

Answer: GCF of Numerators as per given numbers 71/19, 76/59, 313/952 is

GCF of Numerators i.e. for 71,76,313 is 1

LCM of denominators i.e. for 19,59,952 is 1067192.

Thus, GCF of Fractions is 1/1067192.Finally, GCF of Fractions for 71/19, 76/59, 313/952 is 1/1067192.