Greatest Common Factor of 370/11, 7490/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 370/11, 7490/918

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 370/11,7490/918

Given fractions are 370/11,7490/918

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 370,7490

Greatest Common Factor of Numerators i.e. GCF of 370,7490 is 10 .

LCM of Denominators means LCM of 11,918 as per the given fractions.

LCM of 11,918 is 10098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 370,7490

GCF of Fractions 370/11,7490/918 is 10/10098

2 370, 7490
5 185, 3745
37, 749

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 370,7490 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,7490 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 7490

List of positive integer factors of 7490 that divides 7490 without a remainder.

1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490

Greatest Common Factor

We found the factors 370,7490 . The biggest common factor number is the GCF number.
So the greatest common factor 370,7490 is 10.

Lets's calculate LCM of 11,918

Given numbers has no common factors except 1. So, there LCM is their product i.e 10098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/10098

Therefore, the GCF of Fractions 370/11,7490/918 is 10/10098

Least Common Multiple of 11,918 with GCF Formula

Least Common Multiple of 11,918 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 11,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,918) = 1

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

GCF(11,918) x common factors =1 x 1 = 1

LCM(11,918) = ( 11 × 918 ) / 1

LCM(11,918) = 10098 / 1

LCM(11,918) = 10098


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 370/11, 7490/918

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 370/11, 7490/918?

Answer: GCF of Numerators as per given numbers 370/11, 7490/918 is

GCF of Numerators i.e. for 370,7490 is 10

LCM of denominators i.e. for 11,918 is 10098.

Thus, GCF of Fractions is 10/10098.Finally, GCF of Fractions for 370/11, 7490/918 is 10/10098.