Greatest Common Factor of 64/38, 31/14, 316/43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/38, 31/14, 316/43

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 64/38,31/14,316/43

Given fractions are 64/38,31/14,316/43

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 64,31,316

Greatest Common Factor of Numerators i.e. GCF of 64,31,316 is 1 .

LCM of Denominators means LCM of 38,14,43 as per the given fractions.

LCM of 38,14,43 is 11438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,31,316

GCF of Fractions 64/38,31/14,316/43 is 1/11438

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

Greatest Common Factor of 64,31,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,31,316 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 64,31,316 . The biggest common factor number is the GCF number.
So the greatest common factor 64,31,316 is 1.

Lets's calculate LCM of 38,14,43

2 38, 14, 43
19, 7, 43

∴ So the LCM of the given numbers is 2 x 19 x 7 x 43 = 11438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11438

Therefore, the GCF of Fractions 64/38,31/14,316/43 is 1/11438

Least Common Multiple of 38,14,43 with GCF Formula

Least Common Multiple of 38,14,43 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 38,14,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,14,43) = 1

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

GCF(38,14,43) x common factors =1 x 2 = 2

LCM(38,14,43) = ( 38 × 14 × 43 ) / 2

LCM(38,14,43) = 22876 / 2

LCM(38,14,43) = 11438


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 64/38, 31/14, 316/43

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 64/38, 31/14, 316/43?

Answer: GCF of Numerators as per given numbers 64/38, 31/14, 316/43 is

GCF of Numerators i.e. for 64,31,316 is 1

LCM of denominators i.e. for 38,14,43 is 11438.

Thus, GCF of Fractions is 1/11438.Finally, GCF of Fractions for 64/38, 31/14, 316/43 is 1/11438.