Greatest Common Factor of 8638/48, 4020/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8638/48, 4020/762

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 8638/48,4020/762

Given fractions are 8638/48,4020/762

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 8638,4020

Greatest Common Factor of Numerators i.e. GCF of 8638,4020 is 2 .

LCM of Denominators means LCM of 48,762 as per the given fractions.

LCM of 48,762 is 6096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8638,4020

GCF of Fractions 8638/48,4020/762 is 2/6096

2 8638, 4020
4319, 2010

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

Greatest Common Factor of 8638,4020 By Matching Biggest Common Factor Method

Greatest Common Factor of 8638,4020 By Matching Biggest Common Factor Method

Factors of 8638

List of positive integer factors of 8638 that divides 8638 without a remainder.

1,2,7,14,617,1234,4319,8638

Factors of 4020

List of positive integer factors of 4020 that divides 4020 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020

Greatest Common Factor

We found the factors 8638,4020 . The biggest common factor number is the GCF number.
So the greatest common factor 8638,4020 is 2.

Lets's calculate LCM of 48,762

2 48, 762
3 24, 381
8, 127

∴ So the LCM of the given numbers is 2 x 3 x 8 x 127 = 6096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6096

Therefore, the GCF of Fractions 8638/48,4020/762 is 2/6096

Least Common Multiple of 48,762 with GCF Formula

Least Common Multiple of 48,762 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 48,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,762) = 6

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

GCF(48,762) x common factors =6 x 1 = 6

LCM(48,762) = ( 48 × 762 ) / 6

LCM(48,762) = 36576 / 6

LCM(48,762) = 6096


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 8638/48, 4020/762

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 8638/48, 4020/762?

Answer: GCF of Numerators as per given numbers 8638/48, 4020/762 is

GCF of Numerators i.e. for 8638,4020 is 2

LCM of denominators i.e. for 48,762 is 6096.

Thus, GCF of Fractions is 2/6096.Finally, GCF of Fractions for 8638/48, 4020/762 is 2/6096.