Greatest Common Factor of 49/18, 656/75, 910/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/18, 656/75, 910/341

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 49/18,656/75,910/341

Given fractions are 49/18,656/75,910/341

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 49,656,910

Greatest Common Factor of Numerators i.e. GCF of 49,656,910 is 1 .

LCM of Denominators means LCM of 18,75,341 as per the given fractions.

LCM of 18,75,341 is 153450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,656,910

GCF of Fractions 49/18,656/75,910/341 is 1/153450

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 49,656,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,656,910 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 49,656,910 . The biggest common factor number is the GCF number.
So the greatest common factor 49,656,910 is 1.

Lets's calculate LCM of 18,75,341

3 18, 75, 341
6, 25, 341

∴ So the LCM of the given numbers is 3 x 6 x 25 x 341 = 153450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153450

Therefore, the GCF of Fractions 49/18,656/75,910/341 is 1/153450

Least Common Multiple of 18,75,341 with GCF Formula

Least Common Multiple of 18,75,341 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 18,75,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,75,341) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(18,75,341) x common factors =1 x 3 = 3

LCM(18,75,341) = ( 18 × 75 × 341 ) / 3

LCM(18,75,341) = 460350 / 3

LCM(18,75,341) = 153450


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 49/18, 656/75, 910/341

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 49/18, 656/75, 910/341?

Answer: GCF of Numerators as per given numbers 49/18, 656/75, 910/341 is

GCF of Numerators i.e. for 49,656,910 is 1

LCM of denominators i.e. for 18,75,341 is 153450.

Thus, GCF of Fractions is 1/153450.Finally, GCF of Fractions for 49/18, 656/75, 910/341 is 1/153450.