Greatest Common Factor of 60/34, 31/41, 96/40, 85/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/34, 31/41, 96/40, 85/820

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 60/34,31/41,96/40,85/820

Given fractions are 60/34,31/41,96/40,85/820

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 60,31,96,85

Greatest Common Factor of Numerators i.e. GCF of 60,31,96,85 is 1 .

LCM of Denominators means LCM of 34,41,40,820 as per the given fractions.

LCM of 34,41,40,820 is 27880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,31,96,85

GCF of Fractions 60/34,31/41,96/40,85/820 is 1/27880

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

Greatest Common Factor of 60,31,96,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,31,96,85 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors 60,31,96,85 . The biggest common factor number is the GCF number.
So the greatest common factor 60,31,96,85 is 1.

Lets's calculate LCM of 34,41,40,820

2 34, 41, 40, 820
2 17, 41, 20, 410
5 17, 41, 10, 205
41 17, 41, 2, 41
17, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 17 x 1 x 2 x 1 = 27880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27880

Therefore, the GCF of Fractions 60/34,31/41,96/40,85/820 is 1/27880

Least Common Multiple of 34,41,40,820 with GCF Formula

Least Common Multiple of 34,41,40,820 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 34,41,40,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,41,40,820) = 1

common factors(in case of two or more numbers have common factors) = 1640

GCF(34,41,40,820) x common factors =1 x 1640 = 1640

LCM(34,41,40,820) = ( 34 × 41 × 40 × 820 ) / 1640

LCM(34,41,40,820) = 45723200 / 1640

LCM(34,41,40,820) = 27880


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 60/34, 31/41, 96/40, 85/820

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 60/34, 31/41, 96/40, 85/820?

Answer: GCF of Numerators as per given numbers 60/34, 31/41, 96/40, 85/820 is

GCF of Numerators i.e. for 60,31,96,85 is 1

LCM of denominators i.e. for 34,41,40,820 is 27880.

Thus, GCF of Fractions is 1/27880.Finally, GCF of Fractions for 60/34, 31/41, 96/40, 85/820 is 1/27880.