Greatest Common Factor of 59/509, 135/214, 807/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/509, 135/214, 807/152

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 59/509,135/214,807/152

Given fractions are 59/509,135/214,807/152

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 59,135,807

Greatest Common Factor of Numerators i.e. GCF of 59,135,807 is 1 .

LCM of Denominators means LCM of 509,214,152 as per the given fractions.

LCM of 509,214,152 is 8278376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,135,807

GCF of Fractions 59/509,135/214,807/152 is 1/8278376

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

Greatest Common Factor of 59,135,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,135,807 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

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 59,135,807 . The biggest common factor number is the GCF number.
So the greatest common factor 59,135,807 is 1.

Lets's calculate LCM of 509,214,152

2 509, 214, 152
509, 107, 76

∴ So the LCM of the given numbers is 2 x 509 x 107 x 76 = 8278376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8278376

Therefore, the GCF of Fractions 59/509,135/214,807/152 is 1/8278376

Least Common Multiple of 509,214,152 with GCF Formula

Least Common Multiple of 509,214,152 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 509,214,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,214,152) = 1

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

GCF(509,214,152) x common factors =1 x 2 = 2

LCM(509,214,152) = ( 509 × 214 × 152 ) / 2

LCM(509,214,152) = 16556752 / 2

LCM(509,214,152) = 8278376


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 59/509, 135/214, 807/152

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 59/509, 135/214, 807/152?

Answer: GCF of Numerators as per given numbers 59/509, 135/214, 807/152 is

GCF of Numerators i.e. for 59,135,807 is 1

LCM of denominators i.e. for 509,214,152 is 8278376.

Thus, GCF of Fractions is 1/8278376.Finally, GCF of Fractions for 59/509, 135/214, 807/152 is 1/8278376.