Greatest Common Factor of 6085/42, 7282/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6085/42, 7282/140

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 6085/42,7282/140

Given fractions are 6085/42,7282/140

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 6085,7282

Greatest Common Factor of Numerators i.e. GCF of 6085,7282 is 1 .

LCM of Denominators means LCM of 42,140 as per the given fractions.

LCM of 42,140 is 420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6085,7282

GCF of Fractions 6085/42,7282/140 is 1/420

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

Greatest Common Factor of 6085,7282 By Matching Biggest Common Factor Method

Greatest Common Factor of 6085,7282 By Matching Biggest Common Factor Method

Factors of 6085

List of positive integer factors of 6085 that divides 6085 without a remainder.

1,5,1217,6085

Factors of 7282

List of positive integer factors of 7282 that divides 7282 without a remainder.

1,2,11,22,331,662,3641,7282

Greatest Common Factor

We found the factors 6085,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 6085,7282 is 1.

Lets's calculate LCM of 42,140

2 42, 140
7 21, 70
3, 10

∴ So the LCM of the given numbers is 2 x 7 x 3 x 10 = 420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420

Therefore, the GCF of Fractions 6085/42,7282/140 is 1/420

Least Common Multiple of 42,140 with GCF Formula

Least Common Multiple of 42,140 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 42,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,140) = 14

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

GCF(42,140) x common factors =14 x 1 = 14

LCM(42,140) = ( 42 × 140 ) / 14

LCM(42,140) = 5880 / 14

LCM(42,140) = 420


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 6085/42, 7282/140

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 6085/42, 7282/140?

Answer: GCF of Numerators as per given numbers 6085/42, 7282/140 is

GCF of Numerators i.e. for 6085,7282 is 1

LCM of denominators i.e. for 42,140 is 420.

Thus, GCF of Fractions is 1/420.Finally, GCF of Fractions for 6085/42, 7282/140 is 1/420.