Greatest Common Factor of 8/84, 82/85, 77/380, 392/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/84, 82/85, 77/380, 392/252

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 8/84,82/85,77/380,392/252

Given fractions are 8/84,82/85,77/380,392/252

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 8,82,77,392

Greatest Common Factor of Numerators i.e. GCF of 8,82,77,392 is 1 .

LCM of Denominators means LCM of 84,85,380,252 as per the given fractions.

LCM of 84,85,380,252 is 406980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,82,77,392

GCF of Fractions 8/84,82/85,77/380,392/252 is 1/406980

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

Greatest Common Factor of 8,82,77,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,82,77,392 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 77

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

1,7,11,77

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 8,82,77,392 . The biggest common factor number is the GCF number.
So the greatest common factor 8,82,77,392 is 1.

Lets's calculate LCM of 84,85,380,252

2 84, 85, 380, 252
2 42, 85, 190, 126
3 21, 85, 95, 63
5 7, 85, 95, 21
7 7, 17, 19, 21
1, 17, 19, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 17 x 19 x 3 = 406980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406980

Therefore, the GCF of Fractions 8/84,82/85,77/380,392/252 is 1/406980

Least Common Multiple of 84,85,380,252 with GCF Formula

Least Common Multiple of 84,85,380,252 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 84,85,380,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,85,380,252) = 1

common factors(in case of two or more numbers have common factors) = 1680

GCF(84,85,380,252) x common factors =1 x 1680 = 1680

LCM(84,85,380,252) = ( 84 × 85 × 380 × 252 ) / 1680

LCM(84,85,380,252) = 683726400 / 1680

LCM(84,85,380,252) = 406980


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 8/84, 82/85, 77/380, 392/252

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 8/84, 82/85, 77/380, 392/252?

Answer: GCF of Numerators as per given numbers 8/84, 82/85, 77/380, 392/252 is

GCF of Numerators i.e. for 8,82,77,392 is 1

LCM of denominators i.e. for 84,85,380,252 is 406980.

Thus, GCF of Fractions is 1/406980.Finally, GCF of Fractions for 8/84, 82/85, 77/380, 392/252 is 1/406980.