Greatest Common Factor of 4436/906, 2084/7898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4436/906, 2084/7898

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 4436/906,2084/7898

Given fractions are 4436/906,2084/7898

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 4436,2084

Greatest Common Factor of Numerators i.e. GCF of 4436,2084 is 4 .

LCM of Denominators means LCM of 906,7898 as per the given fractions.

LCM of 906,7898 is 3577794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4436,2084

GCF of Fractions 4436/906,2084/7898 is 4/3577794

2 4436, 2084
2 2218, 1042
1109, 521

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

Greatest Common Factor of 4436,2084 By Matching Biggest Common Factor Method

Greatest Common Factor of 4436,2084 By Matching Biggest Common Factor Method

Factors of 4436

List of positive integer factors of 4436 that divides 4436 without a remainder.

1,2,4,1109,2218,4436

Factors of 2084

List of positive integer factors of 2084 that divides 2084 without a remainder.

1,2,4,521,1042,2084

Greatest Common Factor

We found the factors 4436,2084 . The biggest common factor number is the GCF number.
So the greatest common factor 4436,2084 is 4.

Lets's calculate LCM of 906,7898

2 906, 7898
453, 3949

∴ So the LCM of the given numbers is 2 x 453 x 3949 = 3577794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3577794

Therefore, the GCF of Fractions 4436/906,2084/7898 is 4/3577794

Least Common Multiple of 906,7898 with GCF Formula

Least Common Multiple of 906,7898 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 906,7898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,7898) = 2

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

GCF(906,7898) x common factors =2 x 1 = 2

LCM(906,7898) = ( 906 × 7898 ) / 2

LCM(906,7898) = 7155588 / 2

LCM(906,7898) = 3577794


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 4436/906, 2084/7898

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 4436/906, 2084/7898?

Answer: GCF of Numerators as per given numbers 4436/906, 2084/7898 is

GCF of Numerators i.e. for 4436,2084 is 4

LCM of denominators i.e. for 906,7898 is 3577794.

Thus, GCF of Fractions is 4/3577794.Finally, GCF of Fractions for 4436/906, 2084/7898 is 4/3577794.