Greatest Common Factor of 3812/721, 4100/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3812/721, 4100/765

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 3812/721,4100/765

Given fractions are 3812/721,4100/765

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 3812,4100

Greatest Common Factor of Numerators i.e. GCF of 3812,4100 is 4 .

LCM of Denominators means LCM of 721,765 as per the given fractions.

LCM of 721,765 is 551565 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3812,4100

GCF of Fractions 3812/721,4100/765 is 4/551565

2 3812, 4100
2 1906, 2050
953, 1025

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

Greatest Common Factor of 3812,4100 By Matching Biggest Common Factor Method

Greatest Common Factor of 3812,4100 By Matching Biggest Common Factor Method

Factors of 3812

List of positive integer factors of 3812 that divides 3812 without a remainder.

1,2,4,953,1906,3812

Factors of 4100

List of positive integer factors of 4100 that divides 4100 without a remainder.

1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100

Greatest Common Factor

We found the factors 3812,4100 . The biggest common factor number is the GCF number.
So the greatest common factor 3812,4100 is 4.

Lets's calculate LCM of 721,765

Given numbers has no common factors except 1. So, there LCM is their product i.e 551565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/551565

Therefore, the GCF of Fractions 3812/721,4100/765 is 4/551565

Least Common Multiple of 721,765 with GCF Formula

Least Common Multiple of 721,765 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 721,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,765) = 1

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

GCF(721,765) x common factors =1 x 1 = 1

LCM(721,765) = ( 721 × 765 ) / 1

LCM(721,765) = 551565 / 1

LCM(721,765) = 551565


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 3812/721, 4100/765

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 3812/721, 4100/765?

Answer: GCF of Numerators as per given numbers 3812/721, 4100/765 is

GCF of Numerators i.e. for 3812,4100 is 4

LCM of denominators i.e. for 721,765 is 551565.

Thus, GCF of Fractions is 4/551565.Finally, GCF of Fractions for 3812/721, 4100/765 is 4/551565.