Greatest Common Factor of 905/68, 935/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 905/68, 935/211

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 905/68,935/211

Given fractions are 905/68,935/211

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 905,935

Greatest Common Factor of Numerators i.e. GCF of 905,935 is 5 .

LCM of Denominators means LCM of 68,211 as per the given fractions.

LCM of 68,211 is 14348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 905,935

GCF of Fractions 905/68,935/211 is 5/14348

5 905, 935
181, 187

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

Greatest Common Factor of 905,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,935 By Matching Biggest Common Factor Method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 905,935 . The biggest common factor number is the GCF number.
So the greatest common factor 905,935 is 5.

Lets's calculate LCM of 68,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 14348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/14348

Therefore, the GCF of Fractions 905/68,935/211 is 5/14348

Least Common Multiple of 68,211 with GCF Formula

Least Common Multiple of 68,211 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 68,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,211) = 1

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

GCF(68,211) x common factors =1 x 1 = 1

LCM(68,211) = ( 68 × 211 ) / 1

LCM(68,211) = 14348 / 1

LCM(68,211) = 14348


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 905/68, 935/211

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 905/68, 935/211?

Answer: GCF of Numerators as per given numbers 905/68, 935/211 is

GCF of Numerators i.e. for 905,935 is 5

LCM of denominators i.e. for 68,211 is 14348.

Thus, GCF of Fractions is 5/14348.Finally, GCF of Fractions for 905/68, 935/211 is 5/14348.