Greatest Common Factor of 635/14, 168/21, 987/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 635/14, 168/21, 987/134

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 635/14,168/21,987/134

Given fractions are 635/14,168/21,987/134

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 635,168,987

Greatest Common Factor of Numerators i.e. GCF of 635,168,987 is 1 .

LCM of Denominators means LCM of 14,21,134 as per the given fractions.

LCM of 14,21,134 is 2814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 635,168,987

GCF of Fractions 635/14,168/21,987/134 is 1/2814

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

Greatest Common Factor of 635,168,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,168,987 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 635,168,987 . The biggest common factor number is the GCF number.
So the greatest common factor 635,168,987 is 1.

Lets's calculate LCM of 14,21,134

2 14, 21, 134
7 7, 21, 67
1, 3, 67

∴ So the LCM of the given numbers is 2 x 7 x 1 x 3 x 67 = 2814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2814

Therefore, the GCF of Fractions 635/14,168/21,987/134 is 1/2814

Least Common Multiple of 14,21,134 with GCF Formula

Least Common Multiple of 14,21,134 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 14,21,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,21,134) = 1

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

GCF(14,21,134) x common factors =1 x 14 = 14

LCM(14,21,134) = ( 14 × 21 × 134 ) / 14

LCM(14,21,134) = 39396 / 14

LCM(14,21,134) = 2814


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 635/14, 168/21, 987/134

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 635/14, 168/21, 987/134?

Answer: GCF of Numerators as per given numbers 635/14, 168/21, 987/134 is

GCF of Numerators i.e. for 635,168,987 is 1

LCM of denominators i.e. for 14,21,134 is 2814.

Thus, GCF of Fractions is 1/2814.Finally, GCF of Fractions for 635/14, 168/21, 987/134 is 1/2814.