Greatest Common Factor of 4124/380, 5628/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4124/380, 5628/794

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 4124/380,5628/794

Given fractions are 4124/380,5628/794

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 4124,5628

Greatest Common Factor of Numerators i.e. GCF of 4124,5628 is 4 .

LCM of Denominators means LCM of 380,794 as per the given fractions.

LCM of 380,794 is 150860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4124,5628

GCF of Fractions 4124/380,5628/794 is 4/150860

2 4124, 5628
2 2062, 2814
1031, 1407

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

Greatest Common Factor of 4124,5628 By Matching Biggest Common Factor Method

Greatest Common Factor of 4124,5628 By Matching Biggest Common Factor Method

Factors of 4124

List of positive integer factors of 4124 that divides 4124 without a remainder.

1,2,4,1031,2062,4124

Factors of 5628

List of positive integer factors of 5628 that divides 5628 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628

Greatest Common Factor

We found the factors 4124,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 4124,5628 is 4.

Lets's calculate LCM of 380,794

2 380, 794
190, 397

∴ So the LCM of the given numbers is 2 x 190 x 397 = 150860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/150860

Therefore, the GCF of Fractions 4124/380,5628/794 is 4/150860

Least Common Multiple of 380,794 with GCF Formula

Least Common Multiple of 380,794 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 380,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,794) = 2

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

GCF(380,794) x common factors =2 x 1 = 2

LCM(380,794) = ( 380 × 794 ) / 2

LCM(380,794) = 301720 / 2

LCM(380,794) = 150860


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 4124/380, 5628/794

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 4124/380, 5628/794?

Answer: GCF of Numerators as per given numbers 4124/380, 5628/794 is

GCF of Numerators i.e. for 4124,5628 is 4

LCM of denominators i.e. for 380,794 is 150860.

Thus, GCF of Fractions is 4/150860.Finally, GCF of Fractions for 4124/380, 5628/794 is 4/150860.