Greatest Common Factor of 644/501, 1900/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/501, 1900/746

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 644/501,1900/746

Given fractions are 644/501,1900/746

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 644,1900

Greatest Common Factor of Numerators i.e. GCF of 644,1900 is 4 .

LCM of Denominators means LCM of 501,746 as per the given fractions.

LCM of 501,746 is 373746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,1900

GCF of Fractions 644/501,1900/746 is 4/373746

2 644, 1900
2 322, 950
161, 475

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

Greatest Common Factor of 644,1900 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,1900 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 1900

List of positive integer factors of 1900 that divides 1900 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900

Greatest Common Factor

We found the factors 644,1900 . The biggest common factor number is the GCF number.
So the greatest common factor 644,1900 is 4.

Lets's calculate LCM of 501,746

Given numbers has no common factors except 1. So, there LCM is their product i.e 373746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/373746

Therefore, the GCF of Fractions 644/501,1900/746 is 4/373746

Least Common Multiple of 501,746 with GCF Formula

Least Common Multiple of 501,746 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 501,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,746) = 1

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

GCF(501,746) x common factors =1 x 1 = 1

LCM(501,746) = ( 501 × 746 ) / 1

LCM(501,746) = 373746 / 1

LCM(501,746) = 373746


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 644/501, 1900/746

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 644/501, 1900/746?

Answer: GCF of Numerators as per given numbers 644/501, 1900/746 is

GCF of Numerators i.e. for 644,1900 is 4

LCM of denominators i.e. for 501,746 is 373746.

Thus, GCF of Fractions is 4/373746.Finally, GCF of Fractions for 644/501, 1900/746 is 4/373746.