Greatest Common Factor of 4/65, 62/76, 70/413, 109/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/65, 62/76, 70/413, 109/636

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 4/65,62/76,70/413,109/636

Given fractions are 4/65,62/76,70/413,109/636

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 4,62,70,109

Greatest Common Factor of Numerators i.e. GCF of 4,62,70,109 is 1 .

LCM of Denominators means LCM of 65,76,413,636 as per the given fractions.

LCM of 65,76,413,636 is 324394980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,62,70,109

GCF of Fractions 4/65,62/76,70/413,109/636 is 1/324394980

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

Greatest Common Factor of 4,62,70,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,62,70,109 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 4,62,70,109 . The biggest common factor number is the GCF number.
So the greatest common factor 4,62,70,109 is 1.

Lets's calculate LCM of 65,76,413,636

2 65, 76, 413, 636
2 65, 38, 413, 318
65, 19, 413, 159

∴ So the LCM of the given numbers is 2 x 2 x 65 x 19 x 413 x 159 = 324394980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324394980

Therefore, the GCF of Fractions 4/65,62/76,70/413,109/636 is 1/324394980

Least Common Multiple of 65,76,413,636 with GCF Formula

Least Common Multiple of 65,76,413,636 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 65,76,413,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,76,413,636) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(65,76,413,636) x common factors =1 x 4 = 4

LCM(65,76,413,636) = ( 65 × 76 × 413 × 636 ) / 4

LCM(65,76,413,636) = 1297579920 / 4

LCM(65,76,413,636) = 324394980


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 4/65, 62/76, 70/413, 109/636

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 4/65, 62/76, 70/413, 109/636?

Answer: GCF of Numerators as per given numbers 4/65, 62/76, 70/413, 109/636 is

GCF of Numerators i.e. for 4,62,70,109 is 1

LCM of denominators i.e. for 65,76,413,636 is 324394980.

Thus, GCF of Fractions is 1/324394980.Finally, GCF of Fractions for 4/65, 62/76, 70/413, 109/636 is 1/324394980.