Greatest Common Factor of 50/85, 28/75, 57/29, 62/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/85, 28/75, 57/29, 62/634

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 50/85,28/75,57/29,62/634

Given fractions are 50/85,28/75,57/29,62/634

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 50,28,57,62

Greatest Common Factor of Numerators i.e. GCF of 50,28,57,62 is 1 .

LCM of Denominators means LCM of 85,75,29,634 as per the given fractions.

LCM of 85,75,29,634 is 23442150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,28,57,62

GCF of Fractions 50/85,28/75,57/29,62/634 is 1/23442150

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

Greatest Common Factor of 50,28,57,62 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,28,57,62 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 62

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

1,2,31,62

Greatest Common Factor

We found the factors 50,28,57,62 . The biggest common factor number is the GCF number.
So the greatest common factor 50,28,57,62 is 1.

Lets's calculate LCM of 85,75,29,634

5 85, 75, 29, 634
17, 15, 29, 634

∴ So the LCM of the given numbers is 5 x 17 x 15 x 29 x 634 = 23442150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23442150

Therefore, the GCF of Fractions 50/85,28/75,57/29,62/634 is 1/23442150

Least Common Multiple of 85,75,29,634 with GCF Formula

Least Common Multiple of 85,75,29,634 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 85,75,29,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,75,29,634) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,75,29,634) x common factors =1 x 5 = 5

LCM(85,75,29,634) = ( 85 × 75 × 29 × 634 ) / 5

LCM(85,75,29,634) = 117210750 / 5

LCM(85,75,29,634) = 23442150


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 50/85, 28/75, 57/29, 62/634

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 50/85, 28/75, 57/29, 62/634?

Answer: GCF of Numerators as per given numbers 50/85, 28/75, 57/29, 62/634 is

GCF of Numerators i.e. for 50,28,57,62 is 1

LCM of denominators i.e. for 85,75,29,634 is 23442150.

Thus, GCF of Fractions is 1/23442150.Finally, GCF of Fractions for 50/85, 28/75, 57/29, 62/634 is 1/23442150.