Greatest Common Factor of 2240/510, 1393/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2240/510, 1393/122

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 2240/510,1393/122

Given fractions are 2240/510,1393/122

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 2240,1393

Greatest Common Factor of Numerators i.e. GCF of 2240,1393 is 7 .

LCM of Denominators means LCM of 510,122 as per the given fractions.

LCM of 510,122 is 31110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2240,1393

GCF of Fractions 2240/510,1393/122 is 7/31110

7 2240, 1393
320, 199

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2240,1393 By Matching Biggest Common Factor Method

Greatest Common Factor of 2240,1393 By Matching Biggest Common Factor Method

Factors of 2240

List of positive integer factors of 2240 that divides 2240 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240

Factors of 1393

List of positive integer factors of 1393 that divides 1393 without a remainder.

1,7,199,1393

Greatest Common Factor

We found the factors 2240,1393 . The biggest common factor number is the GCF number.
So the greatest common factor 2240,1393 is 7.

Lets's calculate LCM of 510,122

2 510, 122
255, 61

∴ So the LCM of the given numbers is 2 x 255 x 61 = 31110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/31110

Therefore, the GCF of Fractions 2240/510,1393/122 is 7/31110

Least Common Multiple of 510,122 with GCF Formula

Least Common Multiple of 510,122 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 510,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,122) = 2

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

GCF(510,122) x common factors =2 x 1 = 2

LCM(510,122) = ( 510 × 122 ) / 2

LCM(510,122) = 62220 / 2

LCM(510,122) = 31110


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 2240/510, 1393/122

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 2240/510, 1393/122?

Answer: GCF of Numerators as per given numbers 2240/510, 1393/122 is

GCF of Numerators i.e. for 2240,1393 is 7

LCM of denominators i.e. for 510,122 is 31110.

Thus, GCF of Fractions is 7/31110.Finally, GCF of Fractions for 2240/510, 1393/122 is 7/31110.