Greatest Common Factor of 6075/156, 7086/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6075/156, 7086/980

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 6075/156,7086/980

Given fractions are 6075/156,7086/980

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 6075,7086

Greatest Common Factor of Numerators i.e. GCF of 6075,7086 is 3 .

LCM of Denominators means LCM of 156,980 as per the given fractions.

LCM of 156,980 is 38220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6075,7086

GCF of Fractions 6075/156,7086/980 is 3/38220

3 6075, 7086
2025, 2362

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6075,7086 By Matching Biggest Common Factor Method

Greatest Common Factor of 6075,7086 By Matching Biggest Common Factor Method

Factors of 6075

List of positive integer factors of 6075 that divides 6075 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075

Factors of 7086

List of positive integer factors of 7086 that divides 7086 without a remainder.

1,2,3,6,1181,2362,3543,7086

Greatest Common Factor

We found the factors 6075,7086 . The biggest common factor number is the GCF number.
So the greatest common factor 6075,7086 is 3.

Lets's calculate LCM of 156,980

2 156, 980
2 78, 490
39, 245

∴ So the LCM of the given numbers is 2 x 2 x 39 x 245 = 38220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38220

Therefore, the GCF of Fractions 6075/156,7086/980 is 3/38220

Least Common Multiple of 156,980 with GCF Formula

Least Common Multiple of 156,980 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 156,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,980) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(156,980) x common factors =4 x 1 = 4

LCM(156,980) = ( 156 × 980 ) / 4

LCM(156,980) = 152880 / 4

LCM(156,980) = 38220


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 6075/156, 7086/980

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 6075/156, 7086/980?

Answer: GCF of Numerators as per given numbers 6075/156, 7086/980 is

GCF of Numerators i.e. for 6075,7086 is 3

LCM of denominators i.e. for 156,980 is 38220.

Thus, GCF of Fractions is 3/38220.Finally, GCF of Fractions for 6075/156, 7086/980 is 3/38220.