Greatest Common Factor of 35/29, 43/52, 807/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/29, 43/52, 807/939

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 35/29,43/52,807/939

Given fractions are 35/29,43/52,807/939

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 35,43,807

Greatest Common Factor of Numerators i.e. GCF of 35,43,807 is 1 .

LCM of Denominators means LCM of 29,52,939 as per the given fractions.

LCM of 29,52,939 is 1416012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,43,807

GCF of Fractions 35/29,43/52,807/939 is 1/1416012

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

Greatest Common Factor of 35,43,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,43,807 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 35,43,807 . The biggest common factor number is the GCF number.
So the greatest common factor 35,43,807 is 1.

Lets's calculate LCM of 29,52,939

Given numbers has no common factors except 1. So, there LCM is their product i.e 1416012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1416012

Therefore, the GCF of Fractions 35/29,43/52,807/939 is 1/1416012

Least Common Multiple of 29,52,939 with GCF Formula

Least Common Multiple of 29,52,939 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 29,52,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,52,939) = 1

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

GCF(29,52,939) x common factors =1 x 1 = 1

LCM(29,52,939) = ( 29 × 52 × 939 ) / 1

LCM(29,52,939) = 1416012 / 1

LCM(29,52,939) = 1416012


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 35/29, 43/52, 807/939

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 35/29, 43/52, 807/939?

Answer: GCF of Numerators as per given numbers 35/29, 43/52, 807/939 is

GCF of Numerators i.e. for 35,43,807 is 1

LCM of denominators i.e. for 29,52,939 is 1416012.

Thus, GCF of Fractions is 1/1416012.Finally, GCF of Fractions for 35/29, 43/52, 807/939 is 1/1416012.