Greatest Common Factor of 87/42, 77/65, 10/11, 23/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/42, 77/65, 10/11, 23/28

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 87/42,77/65,10/11,23/28

Given fractions are 87/42,77/65,10/11,23/28

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 87,77,10,23

Greatest Common Factor of Numerators i.e. GCF of 87,77,10,23 is 1 .

LCM of Denominators means LCM of 42,65,11,28 as per the given fractions.

LCM of 42,65,11,28 is 60060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,77,10,23

GCF of Fractions 87/42,77/65,10/11,23/28 is 1/60060

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

Greatest Common Factor of 87,77,10,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,77,10,23 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors 87,77,10,23 . The biggest common factor number is the GCF number.
So the greatest common factor 87,77,10,23 is 1.

Lets's calculate LCM of 42,65,11,28

2 42, 65, 11, 28
7 21, 65, 11, 14
3, 65, 11, 2

∴ So the LCM of the given numbers is 2 x 7 x 3 x 65 x 11 x 2 = 60060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60060

Therefore, the GCF of Fractions 87/42,77/65,10/11,23/28 is 1/60060

Least Common Multiple of 42,65,11,28 with GCF Formula

Least Common Multiple of 42,65,11,28 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 42,65,11,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,65,11,28) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(42,65,11,28) x common factors =1 x 14 = 14

LCM(42,65,11,28) = ( 42 × 65 × 11 × 28 ) / 14

LCM(42,65,11,28) = 840840 / 14

LCM(42,65,11,28) = 60060


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 87/42, 77/65, 10/11, 23/28

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 87/42, 77/65, 10/11, 23/28?

Answer: GCF of Numerators as per given numbers 87/42, 77/65, 10/11, 23/28 is

GCF of Numerators i.e. for 87,77,10,23 is 1

LCM of denominators i.e. for 42,65,11,28 is 60060.

Thus, GCF of Fractions is 1/60060.Finally, GCF of Fractions for 87/42, 77/65, 10/11, 23/28 is 1/60060.