Greatest Common Factor of 85/341, 164/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/341, 164/111

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 85/341,164/111

Given fractions are 85/341,164/111

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 85,164

Greatest Common Factor of Numerators i.e. GCF of 85,164 is 1 .

LCM of Denominators means LCM of 341,111 as per the given fractions.

LCM of 341,111 is 37851 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,164

GCF of Fractions 85/341,164/111 is 1/37851

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

Greatest Common Factor of 85,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,164 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 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 85,164 . The biggest common factor number is the GCF number.
So the greatest common factor 85,164 is 1.

Lets's calculate LCM of 341,111

Given numbers has no common factors except 1. So, there LCM is their product i.e 37851

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37851

Therefore, the GCF of Fractions 85/341,164/111 is 1/37851

Least Common Multiple of 341,111 with GCF Formula

Least Common Multiple of 341,111 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 341,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,111) = 1

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

GCF(341,111) x common factors =1 x 1 = 1

LCM(341,111) = ( 341 × 111 ) / 1

LCM(341,111) = 37851 / 1

LCM(341,111) = 37851


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 85/341, 164/111

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 85/341, 164/111?

Answer: GCF of Numerators as per given numbers 85/341, 164/111 is

GCF of Numerators i.e. for 85,164 is 1

LCM of denominators i.e. for 341,111 is 37851.

Thus, GCF of Fractions is 1/37851.Finally, GCF of Fractions for 85/341, 164/111 is 1/37851.