Greatest Common Factor of 85/214, 710/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/214, 710/323

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 85/214,710/323

Given fractions are 85/214,710/323

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 85,710

Greatest Common Factor of Numerators i.e. GCF of 85,710 is 5 .

LCM of Denominators means LCM of 214,323 as per the given fractions.

LCM of 214,323 is 69122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,710

GCF of Fractions 85/214,710/323 is 5/69122

5 85, 710
17, 142

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 85,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,710 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 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 85,710 . The biggest common factor number is the GCF number.
So the greatest common factor 85,710 is 5.

Lets's calculate LCM of 214,323

Given numbers has no common factors except 1. So, there LCM is their product i.e 69122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/69122

Therefore, the GCF of Fractions 85/214,710/323 is 5/69122

Least Common Multiple of 214,323 with GCF Formula

Least Common Multiple of 214,323 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 214,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,323) = 1

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

GCF(214,323) x common factors =1 x 1 = 1

LCM(214,323) = ( 214 × 323 ) / 1

LCM(214,323) = 69122 / 1

LCM(214,323) = 69122


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 85/214, 710/323

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 85/214, 710/323?

Answer: GCF of Numerators as per given numbers 85/214, 710/323 is

GCF of Numerators i.e. for 85,710 is 5

LCM of denominators i.e. for 214,323 is 69122.

Thus, GCF of Fractions is 5/69122.Finally, GCF of Fractions for 85/214, 710/323 is 5/69122.