Greatest Common Factor of 316/23, 312/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 316/23, 312/355

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 316/23,312/355

Given fractions are 316/23,312/355

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 316,312

Greatest Common Factor of Numerators i.e. GCF of 316,312 is 4 .

LCM of Denominators means LCM of 23,355 as per the given fractions.

LCM of 23,355 is 8165 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 316,312

GCF of Fractions 316/23,312/355 is 4/8165

2 316, 312
2 158, 156
79, 78

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 316,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,312 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 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 316,312 . The biggest common factor number is the GCF number.
So the greatest common factor 316,312 is 4.

Lets's calculate LCM of 23,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 8165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8165

Therefore, the GCF of Fractions 316/23,312/355 is 4/8165

Least Common Multiple of 23,355 with GCF Formula

Least Common Multiple of 23,355 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 23,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,355) = 1

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

GCF(23,355) x common factors =1 x 1 = 1

LCM(23,355) = ( 23 × 355 ) / 1

LCM(23,355) = 8165 / 1

LCM(23,355) = 8165


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 316/23, 312/355

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 316/23, 312/355?

Answer: GCF of Numerators as per given numbers 316/23, 312/355 is

GCF of Numerators i.e. for 316,312 is 4

LCM of denominators i.e. for 23,355 is 8165.

Thus, GCF of Fractions is 4/8165.Finally, GCF of Fractions for 316/23, 312/355 is 4/8165.