Greatest Common Factor of 35/67, 917/12, 364/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/67, 917/12, 364/405

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 35/67,917/12,364/405

Given fractions are 35/67,917/12,364/405

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 35,917,364

Greatest Common Factor of Numerators i.e. GCF of 35,917,364 is 7 .

LCM of Denominators means LCM of 67,12,405 as per the given fractions.

LCM of 67,12,405 is 108540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,917,364

GCF of Fractions 35/67,917/12,364/405 is 7/108540

7 35, 917, 364
5, 131, 52

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 35,917,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,917,364 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 35,917,364 . The biggest common factor number is the GCF number.
So the greatest common factor 35,917,364 is 7.

Lets's calculate LCM of 67,12,405

3 67, 12, 405
67, 4, 135

∴ So the LCM of the given numbers is 3 x 67 x 4 x 135 = 108540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/108540

Therefore, the GCF of Fractions 35/67,917/12,364/405 is 7/108540

Least Common Multiple of 67,12,405 with GCF Formula

Least Common Multiple of 67,12,405 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 67,12,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,12,405) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(67,12,405) x common factors =1 x 3 = 3

LCM(67,12,405) = ( 67 × 12 × 405 ) / 3

LCM(67,12,405) = 325620 / 3

LCM(67,12,405) = 108540


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 35/67, 917/12, 364/405

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 35/67, 917/12, 364/405?

Answer: GCF of Numerators as per given numbers 35/67, 917/12, 364/405 is

GCF of Numerators i.e. for 35,917,364 is 7

LCM of denominators i.e. for 67,12,405 is 108540.

Thus, GCF of Fractions is 7/108540.Finally, GCF of Fractions for 35/67, 917/12, 364/405 is 7/108540.