Greatest Common Factor of 87/21, 46/22, 77/77, 82/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/21, 46/22, 77/77, 82/49

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 87/21,46/22,77/77,82/49

Given fractions are 87/21,46/22,77/77,82/49

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 87,46,77,82

Greatest Common Factor of Numerators i.e. GCF of 87,46,77,82 is 1 .

LCM of Denominators means LCM of 21,22,77,49 as per the given fractions.

LCM of 21,22,77,49 is 3234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,46,77,82

GCF of Fractions 87/21,46/22,77/77,82/49 is 1/3234

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

Greatest Common Factor of 87,46,77,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,46,77,82 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 77

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

1,7,11,77

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 87,46,77,82 . The biggest common factor number is the GCF number.
So the greatest common factor 87,46,77,82 is 1.

Lets's calculate LCM of 21,22,77,49

7 21, 22, 77, 49
11 3, 22, 11, 7
3, 2, 1, 7

∴ So the LCM of the given numbers is 7 x 11 x 3 x 2 x 1 x 7 = 3234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3234

Therefore, the GCF of Fractions 87/21,46/22,77/77,82/49 is 1/3234

Least Common Multiple of 21,22,77,49 with GCF Formula

Least Common Multiple of 21,22,77,49 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 21,22,77,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,22,77,49) = 1

common factors(in case of two or more numbers have common factors) = 539

GCF(21,22,77,49) x common factors =1 x 539 = 539

LCM(21,22,77,49) = ( 21 × 22 × 77 × 49 ) / 539

LCM(21,22,77,49) = 1743126 / 539

LCM(21,22,77,49) = 3234


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 87/21, 46/22, 77/77, 82/49

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 87/21, 46/22, 77/77, 82/49?

Answer: GCF of Numerators as per given numbers 87/21, 46/22, 77/77, 82/49 is

GCF of Numerators i.e. for 87,46,77,82 is 1

LCM of denominators i.e. for 21,22,77,49 is 3234.

Thus, GCF of Fractions is 1/3234.Finally, GCF of Fractions for 87/21, 46/22, 77/77, 82/49 is 1/3234.