Greatest Common Factor of 4611/711, 7314/2977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4611/711, 7314/2977

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 4611/711,7314/2977

Given fractions are 4611/711,7314/2977

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 4611,7314

Greatest Common Factor of Numerators i.e. GCF of 4611,7314 is 159 .

LCM of Denominators means LCM of 711,2977 as per the given fractions.

LCM of 711,2977 is 2116647 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4611,7314

GCF of Fractions 4611/711,7314/2977 is 159/2116647

3 4611, 7314
53 1537, 2438
29, 46

∴ So the GCF of the given numbers is 3 x 53 = 159

Greatest Common Factor of 4611,7314 By Matching Biggest Common Factor Method

Greatest Common Factor of 4611,7314 By Matching Biggest Common Factor Method

Factors of 4611

List of positive integer factors of 4611 that divides 4611 without a remainder.

1,3,29,53,87,159,1537,4611

Factors of 7314

List of positive integer factors of 7314 that divides 7314 without a remainder.

1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314

Greatest Common Factor

We found the factors 4611,7314 . The biggest common factor number is the GCF number.
So the greatest common factor 4611,7314 is 159.

Lets's calculate LCM of 711,2977

Given numbers has no common factors except 1. So, there LCM is their product i.e 2116647

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 159/2116647

Therefore, the GCF of Fractions 4611/711,7314/2977 is 159/2116647

Least Common Multiple of 711,2977 with GCF Formula

Least Common Multiple of 711,2977 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 711,2977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,2977) = 1

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

GCF(711,2977) x common factors =1 x 1 = 1

LCM(711,2977) = ( 711 × 2977 ) / 1

LCM(711,2977) = 2116647 / 1

LCM(711,2977) = 2116647


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 4611/711, 7314/2977

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 4611/711, 7314/2977?

Answer: GCF of Numerators as per given numbers 4611/711, 7314/2977 is

GCF of Numerators i.e. for 4611,7314 is 159

LCM of denominators i.e. for 711,2977 is 2116647.

Thus, GCF of Fractions is 159/2116647.Finally, GCF of Fractions for 4611/711, 7314/2977 is 159/2116647.