Greatest Common Factor of 4716/72, 1946/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4716/72, 1946/871

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 4716/72,1946/871

Given fractions are 4716/72,1946/871

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 4716,1946

Greatest Common Factor of Numerators i.e. GCF of 4716,1946 is 2 .

LCM of Denominators means LCM of 72,871 as per the given fractions.

LCM of 72,871 is 62712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4716,1946

GCF of Fractions 4716/72,1946/871 is 2/62712

2 4716, 1946
2358, 973

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

Greatest Common Factor of 4716,1946 By Matching Biggest Common Factor Method

Greatest Common Factor of 4716,1946 By Matching Biggest Common Factor Method

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716

Factors of 1946

List of positive integer factors of 1946 that divides 1946 without a remainder.

1,2,7,14,139,278,973,1946

Greatest Common Factor

We found the factors 4716,1946 . The biggest common factor number is the GCF number.
So the greatest common factor 4716,1946 is 2.

Lets's calculate LCM of 72,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 62712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62712

Therefore, the GCF of Fractions 4716/72,1946/871 is 2/62712

Least Common Multiple of 72,871 with GCF Formula

Least Common Multiple of 72,871 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 72,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,871) = 1

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

GCF(72,871) x common factors =1 x 1 = 1

LCM(72,871) = ( 72 × 871 ) / 1

LCM(72,871) = 62712 / 1

LCM(72,871) = 62712


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 4716/72, 1946/871

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 4716/72, 1946/871?

Answer: GCF of Numerators as per given numbers 4716/72, 1946/871 is

GCF of Numerators i.e. for 4716,1946 is 2

LCM of denominators i.e. for 72,871 is 62712.

Thus, GCF of Fractions is 2/62712.Finally, GCF of Fractions for 4716/72, 1946/871 is 2/62712.