Greatest Common Factor of 35/36, 48/44, 532/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/36, 48/44, 532/805

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 35/36,48/44,532/805

Given fractions are 35/36,48/44,532/805

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 35,48,532

Greatest Common Factor of Numerators i.e. GCF of 35,48,532 is 1 .

LCM of Denominators means LCM of 36,44,805 as per the given fractions.

LCM of 36,44,805 is 318780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,48,532

GCF of Fractions 35/36,48/44,532/805 is 1/318780

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

Greatest Common Factor of 35,48,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,48,532 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 35,48,532 . The biggest common factor number is the GCF number.
So the greatest common factor 35,48,532 is 1.

Lets's calculate LCM of 36,44,805

2 36, 44, 805
2 18, 22, 805
9, 11, 805

∴ So the LCM of the given numbers is 2 x 2 x 9 x 11 x 805 = 318780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318780

Therefore, the GCF of Fractions 35/36,48/44,532/805 is 1/318780

Least Common Multiple of 36,44,805 with GCF Formula

Least Common Multiple of 36,44,805 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 36,44,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,44,805) = 1

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

GCF(36,44,805) x common factors =1 x 4 = 4

LCM(36,44,805) = ( 36 × 44 × 805 ) / 4

LCM(36,44,805) = 1275120 / 4

LCM(36,44,805) = 318780


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 35/36, 48/44, 532/805

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 35/36, 48/44, 532/805?

Answer: GCF of Numerators as per given numbers 35/36, 48/44, 532/805 is

GCF of Numerators i.e. for 35,48,532 is 1

LCM of denominators i.e. for 36,44,805 is 318780.

Thus, GCF of Fractions is 1/318780.Finally, GCF of Fractions for 35/36, 48/44, 532/805 is 1/318780.