Greatest Common Factor of 644/41, 640/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/41, 640/451

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 644/41,640/451

Given fractions are 644/41,640/451

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 644,640

Greatest Common Factor of Numerators i.e. GCF of 644,640 is 4 .

LCM of Denominators means LCM of 41,451 as per the given fractions.

LCM of 41,451 is 451 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,640

GCF of Fractions 644/41,640/451 is 4/451

2 644, 640
2 322, 320
161, 160

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

Greatest Common Factor of 644,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,640 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 644,640 . The biggest common factor number is the GCF number.
So the greatest common factor 644,640 is 4.

Lets's calculate LCM of 41,451

41 41, 451
1, 11

∴ So the LCM of the given numbers is 41 x 1 x 11 = 451

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/451

Therefore, the GCF of Fractions 644/41,640/451 is 4/451

Least Common Multiple of 41,451 with GCF Formula

Least Common Multiple of 41,451 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 41,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,451) = 41

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

GCF(41,451) x common factors =41 x 1 = 41

LCM(41,451) = ( 41 × 451 ) / 41

LCM(41,451) = 18491 / 41

LCM(41,451) = 451


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 644/41, 640/451

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 644/41, 640/451?

Answer: GCF of Numerators as per given numbers 644/41, 640/451 is

GCF of Numerators i.e. for 644,640 is 4

LCM of denominators i.e. for 41,451 is 451.

Thus, GCF of Fractions is 4/451.Finally, GCF of Fractions for 644/41, 640/451 is 4/451.