Greatest Common Factor of 35/31, 36/25, 25/34, 45/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/31, 36/25, 25/34, 45/212

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 35/31,36/25,25/34,45/212

Given fractions are 35/31,36/25,25/34,45/212

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 35,36,25,45

Greatest Common Factor of Numerators i.e. GCF of 35,36,25,45 is 1 .

LCM of Denominators means LCM of 31,25,34,212 as per the given fractions.

LCM of 31,25,34,212 is 2793100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,36,25,45

GCF of Fractions 35/31,36/25,25/34,45/212 is 1/2793100

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

Greatest Common Factor of 35,36,25,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,36,25,45 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 35,36,25,45 . The biggest common factor number is the GCF number.
So the greatest common factor 35,36,25,45 is 1.

Lets's calculate LCM of 31,25,34,212

2 31, 25, 34, 212
31, 25, 17, 106

∴ So the LCM of the given numbers is 2 x 31 x 25 x 17 x 106 = 2793100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2793100

Therefore, the GCF of Fractions 35/31,36/25,25/34,45/212 is 1/2793100

Least Common Multiple of 31,25,34,212 with GCF Formula

Least Common Multiple of 31,25,34,212 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 31,25,34,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,25,34,212) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,25,34,212) x common factors =1 x 2 = 2

LCM(31,25,34,212) = ( 31 × 25 × 34 × 212 ) / 2

LCM(31,25,34,212) = 5586200 / 2

LCM(31,25,34,212) = 2793100


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 35/31, 36/25, 25/34, 45/212

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 35/31, 36/25, 25/34, 45/212?

Answer: GCF of Numerators as per given numbers 35/31, 36/25, 25/34, 45/212 is

GCF of Numerators i.e. for 35,36,25,45 is 1

LCM of denominators i.e. for 31,25,34,212 is 2793100.

Thus, GCF of Fractions is 1/2793100.Finally, GCF of Fractions for 35/31, 36/25, 25/34, 45/212 is 1/2793100.