Greatest Common Factor of 35/52, 59/10, 22/85, 242/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/52, 59/10, 22/85, 242/36

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 35/52,59/10,22/85,242/36

Given fractions are 35/52,59/10,22/85,242/36

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 35,59,22,242

Greatest Common Factor of Numerators i.e. GCF of 35,59,22,242 is 1 .

LCM of Denominators means LCM of 52,10,85,36 as per the given fractions.

LCM of 52,10,85,36 is 39780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,59,22,242

GCF of Fractions 35/52,59/10,22/85,242/36 is 1/39780

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

Greatest Common Factor of 35,59,22,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,59,22,242 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 35,59,22,242 . The biggest common factor number is the GCF number.
So the greatest common factor 35,59,22,242 is 1.

Lets's calculate LCM of 52,10,85,36

2 52, 10, 85, 36
2 26, 5, 85, 18
5 13, 5, 85, 9
13, 1, 17, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 1 x 17 x 9 = 39780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39780

Therefore, the GCF of Fractions 35/52,59/10,22/85,242/36 is 1/39780

Least Common Multiple of 52,10,85,36 with GCF Formula

Least Common Multiple of 52,10,85,36 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 52,10,85,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,10,85,36) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(52,10,85,36) x common factors =1 x 40 = 40

LCM(52,10,85,36) = ( 52 × 10 × 85 × 36 ) / 40

LCM(52,10,85,36) = 1591200 / 40

LCM(52,10,85,36) = 39780


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 35/52, 59/10, 22/85, 242/36

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 35/52, 59/10, 22/85, 242/36?

Answer: GCF of Numerators as per given numbers 35/52, 59/10, 22/85, 242/36 is

GCF of Numerators i.e. for 35,59,22,242 is 1

LCM of denominators i.e. for 52,10,85,36 is 39780.

Thus, GCF of Fractions is 1/39780.Finally, GCF of Fractions for 35/52, 59/10, 22/85, 242/36 is 1/39780.