Greatest Common Factor of 8/42, 82/16, 84/410, 138/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/42, 82/16, 84/410, 138/697

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 8/42,82/16,84/410,138/697

Given fractions are 8/42,82/16,84/410,138/697

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 8,82,84,138

Greatest Common Factor of Numerators i.e. GCF of 8,82,84,138 is 2 .

LCM of Denominators means LCM of 42,16,410,697 as per the given fractions.

LCM of 42,16,410,697 is 1170960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,82,84,138

GCF of Fractions 8/42,82/16,84/410,138/697 is 2/1170960

2 8, 82, 84, 138
4, 41, 42, 69

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8,82,84,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,82,84,138 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 82

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

1,2,41,82

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 8,82,84,138 . The biggest common factor number is the GCF number.
So the greatest common factor 8,82,84,138 is 2.

Lets's calculate LCM of 42,16,410,697

2 42, 16, 410, 697
41 21, 8, 205, 697
21, 8, 5, 17

∴ So the LCM of the given numbers is 2 x 41 x 21 x 8 x 5 x 17 = 1170960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1170960

Therefore, the GCF of Fractions 8/42,82/16,84/410,138/697 is 2/1170960

Least Common Multiple of 42,16,410,697 with GCF Formula

Least Common Multiple of 42,16,410,697 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 42,16,410,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,16,410,697) = 1

common factors(in case of two or more numbers have common factors) = 164

GCF(42,16,410,697) x common factors =1 x 164 = 164

LCM(42,16,410,697) = ( 42 × 16 × 410 × 697 ) / 164

LCM(42,16,410,697) = 192037440 / 164

LCM(42,16,410,697) = 1170960


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 8/42, 82/16, 84/410, 138/697

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 8/42, 82/16, 84/410, 138/697?

Answer: GCF of Numerators as per given numbers 8/42, 82/16, 84/410, 138/697 is

GCF of Numerators i.e. for 8,82,84,138 is 2

LCM of denominators i.e. for 42,16,410,697 is 1170960.

Thus, GCF of Fractions is 2/1170960.Finally, GCF of Fractions for 8/42, 82/16, 84/410, 138/697 is 2/1170960.