Greatest Common Factor of 6135/282, 5300/8024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6135/282, 5300/8024

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 6135/282,5300/8024

Given fractions are 6135/282,5300/8024

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 6135,5300

Greatest Common Factor of Numerators i.e. GCF of 6135,5300 is 5 .

LCM of Denominators means LCM of 282,8024 as per the given fractions.

LCM of 282,8024 is 1131384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6135,5300

GCF of Fractions 6135/282,5300/8024 is 5/1131384

5 6135, 5300
1227, 1060

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6135,5300 By Matching Biggest Common Factor Method

Greatest Common Factor of 6135,5300 By Matching Biggest Common Factor Method

Factors of 6135

List of positive integer factors of 6135 that divides 6135 without a remainder.

1,3,5,15,409,1227,2045,6135

Factors of 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300

Greatest Common Factor

We found the factors 6135,5300 . The biggest common factor number is the GCF number.
So the greatest common factor 6135,5300 is 5.

Lets's calculate LCM of 282,8024

2 282, 8024
141, 4012

∴ So the LCM of the given numbers is 2 x 141 x 4012 = 1131384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1131384

Therefore, the GCF of Fractions 6135/282,5300/8024 is 5/1131384

Least Common Multiple of 282,8024 with GCF Formula

Least Common Multiple of 282,8024 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 282,8024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,8024) = 2

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

GCF(282,8024) x common factors =2 x 1 = 2

LCM(282,8024) = ( 282 × 8024 ) / 2

LCM(282,8024) = 2262768 / 2

LCM(282,8024) = 1131384


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6135/282, 5300/8024

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 6135/282, 5300/8024?

Answer: GCF of Numerators as per given numbers 6135/282, 5300/8024 is

GCF of Numerators i.e. for 6135,5300 is 5

LCM of denominators i.e. for 282,8024 is 1131384.

Thus, GCF of Fractions is 5/1131384.Finally, GCF of Fractions for 6135/282, 5300/8024 is 5/1131384.