Greatest Common Factor of 716/47, 2608/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 716/47, 2608/863

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 716/47,2608/863

Given fractions are 716/47,2608/863

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 716,2608

Greatest Common Factor of Numerators i.e. GCF of 716,2608 is 4 .

LCM of Denominators means LCM of 47,863 as per the given fractions.

LCM of 47,863 is 40561 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 716,2608

GCF of Fractions 716/47,2608/863 is 4/40561

2 716, 2608
2 358, 1304
179, 652

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

Greatest Common Factor of 716,2608 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,2608 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 2608

List of positive integer factors of 2608 that divides 2608 without a remainder.

1,2,4,8,16,163,326,652,1304,2608

Greatest Common Factor

We found the factors 716,2608 . The biggest common factor number is the GCF number.
So the greatest common factor 716,2608 is 4.

Lets's calculate LCM of 47,863

Given numbers has no common factors except 1. So, there LCM is their product i.e 40561

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40561

Therefore, the GCF of Fractions 716/47,2608/863 is 4/40561

Least Common Multiple of 47,863 with GCF Formula

Least Common Multiple of 47,863 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 47,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,863) = 1

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

GCF(47,863) x common factors =1 x 1 = 1

LCM(47,863) = ( 47 × 863 ) / 1

LCM(47,863) = 40561 / 1

LCM(47,863) = 40561


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 716/47, 2608/863

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 716/47, 2608/863?

Answer: GCF of Numerators as per given numbers 716/47, 2608/863 is

GCF of Numerators i.e. for 716,2608 is 4

LCM of denominators i.e. for 47,863 is 40561.

Thus, GCF of Fractions is 4/40561.Finally, GCF of Fractions for 716/47, 2608/863 is 4/40561.