Greatest Common Factor of 268/36, 440/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/36, 440/840

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 268/36,440/840

Given fractions are 268/36,440/840

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 268,440

Greatest Common Factor of Numerators i.e. GCF of 268,440 is 4 .

LCM of Denominators means LCM of 36,840 as per the given fractions.

LCM of 36,840 is 2520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,440

GCF of Fractions 268/36,440/840 is 4/2520

2 268, 440
2 134, 220
67, 110

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

Greatest Common Factor of 268,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,440 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 268,440 . The biggest common factor number is the GCF number.
So the greatest common factor 268,440 is 4.

Lets's calculate LCM of 36,840

2 36, 840
2 18, 420
3 9, 210
3, 70

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 70 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2520

Therefore, the GCF of Fractions 268/36,440/840 is 4/2520

Least Common Multiple of 36,840 with GCF Formula

Least Common Multiple of 36,840 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 36,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,840) = 12

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

GCF(36,840) x common factors =12 x 1 = 12

LCM(36,840) = ( 36 × 840 ) / 12

LCM(36,840) = 30240 / 12

LCM(36,840) = 2520


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 268/36, 440/840

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 268/36, 440/840?

Answer: GCF of Numerators as per given numbers 268/36, 440/840 is

GCF of Numerators i.e. for 268,440 is 4

LCM of denominators i.e. for 36,840 is 2520.

Thus, GCF of Fractions is 4/2520.Finally, GCF of Fractions for 268/36, 440/840 is 4/2520.