Greatest Common Factor of 185/35, 268/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 185/35, 268/611

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 185/35,268/611

Given fractions are 185/35,268/611

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 185,268

Greatest Common Factor of Numerators i.e. GCF of 185,268 is 1 .

LCM of Denominators means LCM of 35,611 as per the given fractions.

LCM of 35,611 is 21385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 185,268

GCF of Fractions 185/35,268/611 is 1/21385

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

Greatest Common Factor of 185,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,268 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 185,268 . The biggest common factor number is the GCF number.
So the greatest common factor 185,268 is 1.

Lets's calculate LCM of 35,611

Given numbers has no common factors except 1. So, there LCM is their product i.e 21385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21385

Therefore, the GCF of Fractions 185/35,268/611 is 1/21385

Least Common Multiple of 35,611 with GCF Formula

Least Common Multiple of 35,611 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 35,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,611) = 1

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

GCF(35,611) x common factors =1 x 1 = 1

LCM(35,611) = ( 35 × 611 ) / 1

LCM(35,611) = 21385 / 1

LCM(35,611) = 21385


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 185/35, 268/611

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 185/35, 268/611?

Answer: GCF of Numerators as per given numbers 185/35, 268/611 is

GCF of Numerators i.e. for 185,268 is 1

LCM of denominators i.e. for 35,611 is 21385.

Thus, GCF of Fractions is 1/21385.Finally, GCF of Fractions for 185/35, 268/611 is 1/21385.