Greatest Common Factor of 46/16, 117/39, 312/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/16, 117/39, 312/751

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 46/16,117/39,312/751

Given fractions are 46/16,117/39,312/751

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 46,117,312

Greatest Common Factor of Numerators i.e. GCF of 46,117,312 is 1 .

LCM of Denominators means LCM of 16,39,751 as per the given fractions.

LCM of 16,39,751 is 468624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,117,312

GCF of Fractions 46/16,117/39,312/751 is 1/468624

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

Greatest Common Factor of 46,117,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,117,312 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

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 46,117,312 . The biggest common factor number is the GCF number.
So the greatest common factor 46,117,312 is 1.

Lets's calculate LCM of 16,39,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 468624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/468624

Therefore, the GCF of Fractions 46/16,117/39,312/751 is 1/468624

Least Common Multiple of 16,39,751 with GCF Formula

Least Common Multiple of 16,39,751 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 16,39,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,39,751) = 1

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

GCF(16,39,751) x common factors =1 x 1 = 1

LCM(16,39,751) = ( 16 × 39 × 751 ) / 1

LCM(16,39,751) = 468624 / 1

LCM(16,39,751) = 468624


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 46/16, 117/39, 312/751

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 46/16, 117/39, 312/751?

Answer: GCF of Numerators as per given numbers 46/16, 117/39, 312/751 is

GCF of Numerators i.e. for 46,117,312 is 1

LCM of denominators i.e. for 16,39,751 is 468624.

Thus, GCF of Fractions is 1/468624.Finally, GCF of Fractions for 46/16, 117/39, 312/751 is 1/468624.