Greatest Common Factor of 316/32, 631/14, 173/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 316/32, 631/14, 173/74

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 316/32,631/14,173/74

Given fractions are 316/32,631/14,173/74

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 316,631,173

Greatest Common Factor of Numerators i.e. GCF of 316,631,173 is 1 .

LCM of Denominators means LCM of 32,14,74 as per the given fractions.

LCM of 32,14,74 is 8288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 316,631,173

GCF of Fractions 316/32,631/14,173/74 is 1/8288

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

Greatest Common Factor of 316,631,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,631,173 By Matching Biggest Common Factor Method

Factors of 316

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

1,2,4,79,158,316

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 316,631,173 . The biggest common factor number is the GCF number.
So the greatest common factor 316,631,173 is 1.

Lets's calculate LCM of 32,14,74

2 32, 14, 74
16, 7, 37

∴ So the LCM of the given numbers is 2 x 16 x 7 x 37 = 8288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8288

Therefore, the GCF of Fractions 316/32,631/14,173/74 is 1/8288

Least Common Multiple of 32,14,74 with GCF Formula

Least Common Multiple of 32,14,74 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 32,14,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,14,74) = 2

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

GCF(32,14,74) x common factors =2 x 2 = 4

LCM(32,14,74) = ( 32 × 14 × 74 ) / 4

LCM(32,14,74) = 33152 / 4

LCM(32,14,74) = 8288


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 316/32, 631/14, 173/74

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 316/32, 631/14, 173/74?

Answer: GCF of Numerators as per given numbers 316/32, 631/14, 173/74 is

GCF of Numerators i.e. for 316,631,173 is 1

LCM of denominators i.e. for 32,14,74 is 8288.

Thus, GCF of Fractions is 1/8288.Finally, GCF of Fractions for 316/32, 631/14, 173/74 is 1/8288.