Greatest Common Factor of 35/21, 85/412, 932/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/21, 85/412, 932/452

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 35/21,85/412,932/452

Given fractions are 35/21,85/412,932/452

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 35,85,932

Greatest Common Factor of Numerators i.e. GCF of 35,85,932 is 1 .

LCM of Denominators means LCM of 21,412,452 as per the given fractions.

LCM of 21,412,452 is 977676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,85,932

GCF of Fractions 35/21,85/412,932/452 is 1/977676

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

Greatest Common Factor of 35,85,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,85,932 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 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 35,85,932 . The biggest common factor number is the GCF number.
So the greatest common factor 35,85,932 is 1.

Lets's calculate LCM of 21,412,452

2 21, 412, 452
2 21, 206, 226
21, 103, 113

∴ So the LCM of the given numbers is 2 x 2 x 21 x 103 x 113 = 977676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/977676

Therefore, the GCF of Fractions 35/21,85/412,932/452 is 1/977676

Least Common Multiple of 21,412,452 with GCF Formula

Least Common Multiple of 21,412,452 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 21,412,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,412,452) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(21,412,452) x common factors =1 x 4 = 4

LCM(21,412,452) = ( 21 × 412 × 452 ) / 4

LCM(21,412,452) = 3910704 / 4

LCM(21,412,452) = 977676


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 35/21, 85/412, 932/452

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 35/21, 85/412, 932/452?

Answer: GCF of Numerators as per given numbers 35/21, 85/412, 932/452 is

GCF of Numerators i.e. for 35,85,932 is 1

LCM of denominators i.e. for 21,412,452 is 977676.

Thus, GCF of Fractions is 1/977676.Finally, GCF of Fractions for 35/21, 85/412, 932/452 is 1/977676.