Greatest Common Factor of 85/840, 8914/1210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/840, 8914/1210

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 85/840,8914/1210

Given fractions are 85/840,8914/1210

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 85,8914

Greatest Common Factor of Numerators i.e. GCF of 85,8914 is 1 .

LCM of Denominators means LCM of 840,1210 as per the given fractions.

LCM of 840,1210 is 101640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,8914

GCF of Fractions 85/840,8914/1210 is 1/101640

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

Greatest Common Factor of 85,8914 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,8914 By Matching Biggest Common Factor Method

Factors of 85

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

1,5,17,85

Factors of 8914

List of positive integer factors of 8914 that divides 8914 without a remainder.

1,2,4457,8914

Greatest Common Factor

We found the factors 85,8914 . The biggest common factor number is the GCF number.
So the greatest common factor 85,8914 is 1.

Lets's calculate LCM of 840,1210

2 840, 1210
5 420, 605
84, 121

∴ So the LCM of the given numbers is 2 x 5 x 84 x 121 = 101640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101640

Therefore, the GCF of Fractions 85/840,8914/1210 is 1/101640

Least Common Multiple of 840,1210 with GCF Formula

Least Common Multiple of 840,1210 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 840,1210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,1210) = 10

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

GCF(840,1210) x common factors =10 x 1 = 10

LCM(840,1210) = ( 840 × 1210 ) / 10

LCM(840,1210) = 1016400 / 10

LCM(840,1210) = 101640


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 85/840, 8914/1210

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 85/840, 8914/1210?

Answer: GCF of Numerators as per given numbers 85/840, 8914/1210 is

GCF of Numerators i.e. for 85,8914 is 1

LCM of denominators i.e. for 840,1210 is 101640.

Thus, GCF of Fractions is 1/101640.Finally, GCF of Fractions for 85/840, 8914/1210 is 1/101640.