Greatest Common Factor of 80/28, 86/44, 92/85, 70/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/28, 86/44, 92/85, 70/408

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 80/28,86/44,92/85,70/408

Given fractions are 80/28,86/44,92/85,70/408

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 80,86,92,70

Greatest Common Factor of Numerators i.e. GCF of 80,86,92,70 is 2 .

LCM of Denominators means LCM of 28,44,85,408 as per the given fractions.

LCM of 28,44,85,408 is 157080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,86,92,70

GCF of Fractions 80/28,86/44,92/85,70/408 is 2/157080

2 80, 86, 92, 70
40, 43, 46, 35

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

Greatest Common Factor of 80,86,92,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,86,92,70 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 80,86,92,70 . The biggest common factor number is the GCF number.
So the greatest common factor 80,86,92,70 is 2.

Lets's calculate LCM of 28,44,85,408

2 28, 44, 85, 408
2 14, 22, 85, 204
17 7, 11, 85, 102
7, 11, 5, 6

∴ So the LCM of the given numbers is 2 x 2 x 17 x 7 x 11 x 5 x 6 = 157080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157080

Therefore, the GCF of Fractions 80/28,86/44,92/85,70/408 is 2/157080

Least Common Multiple of 28,44,85,408 with GCF Formula

Least Common Multiple of 28,44,85,408 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 28,44,85,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,44,85,408) = 1

common factors(in case of two or more numbers have common factors) = 272

GCF(28,44,85,408) x common factors =1 x 272 = 272

LCM(28,44,85,408) = ( 28 × 44 × 85 × 408 ) / 272

LCM(28,44,85,408) = 42725760 / 272

LCM(28,44,85,408) = 157080


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 80/28, 86/44, 92/85, 70/408

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 80/28, 86/44, 92/85, 70/408?

Answer: GCF of Numerators as per given numbers 80/28, 86/44, 92/85, 70/408 is

GCF of Numerators i.e. for 80,86,92,70 is 2

LCM of denominators i.e. for 28,44,85,408 is 157080.

Thus, GCF of Fractions is 2/157080.Finally, GCF of Fractions for 80/28, 86/44, 92/85, 70/408 is 2/157080.