Greatest Common Factor of 641/772, 8722/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 641/772, 8722/148

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 641/772,8722/148

Given fractions are 641/772,8722/148

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 641,8722

Greatest Common Factor of Numerators i.e. GCF of 641,8722 is 1 .

LCM of Denominators means LCM of 772,148 as per the given fractions.

LCM of 772,148 is 28564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 641,8722

GCF of Fractions 641/772,8722/148 is 1/28564

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

Greatest Common Factor of 641,8722 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,8722 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 8722

List of positive integer factors of 8722 that divides 8722 without a remainder.

1,2,7,14,49,89,98,178,623,1246,4361,8722

Greatest Common Factor

We found the factors 641,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 641,8722 is 1.

Lets's calculate LCM of 772,148

2 772, 148
2 386, 74
193, 37

∴ So the LCM of the given numbers is 2 x 2 x 193 x 37 = 28564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28564

Therefore, the GCF of Fractions 641/772,8722/148 is 1/28564

Least Common Multiple of 772,148 with GCF Formula

Least Common Multiple of 772,148 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 772,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,148) = 4

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

GCF(772,148) x common factors =4 x 1 = 4

LCM(772,148) = ( 772 × 148 ) / 4

LCM(772,148) = 114256 / 4

LCM(772,148) = 28564


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 641/772, 8722/148

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 641/772, 8722/148?

Answer: GCF of Numerators as per given numbers 641/772, 8722/148 is

GCF of Numerators i.e. for 641,8722 is 1

LCM of denominators i.e. for 772,148 is 28564.

Thus, GCF of Fractions is 1/28564.Finally, GCF of Fractions for 641/772, 8722/148 is 1/28564.