Greatest Common Factor of 312/323, 616/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 312/323, 616/687

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 312/323,616/687

Given fractions are 312/323,616/687

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 312,616

Greatest Common Factor of Numerators i.e. GCF of 312,616 is 8 .

LCM of Denominators means LCM of 323,687 as per the given fractions.

LCM of 323,687 is 221901 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 312,616

GCF of Fractions 312/323,616/687 is 8/221901

2 312, 616
2 156, 308
2 78, 154
39, 77

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 312,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,616 By Matching Biggest Common Factor Method

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

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 312,616 . The biggest common factor number is the GCF number.
So the greatest common factor 312,616 is 8.

Lets's calculate LCM of 323,687

Given numbers has no common factors except 1. So, there LCM is their product i.e 221901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/221901

Therefore, the GCF of Fractions 312/323,616/687 is 8/221901

Least Common Multiple of 323,687 with GCF Formula

Least Common Multiple of 323,687 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 323,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,687) = 1

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

GCF(323,687) x common factors =1 x 1 = 1

LCM(323,687) = ( 323 × 687 ) / 1

LCM(323,687) = 221901 / 1

LCM(323,687) = 221901


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 312/323, 616/687

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 312/323, 616/687?

Answer: GCF of Numerators as per given numbers 312/323, 616/687 is

GCF of Numerators i.e. for 312,616 is 8

LCM of denominators i.e. for 323,687 is 221901.

Thus, GCF of Fractions is 8/221901.Finally, GCF of Fractions for 312/323, 616/687 is 8/221901.