Greatest Common Factor of 75/17, 265/59, 645/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/17, 265/59, 645/598

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 75/17,265/59,645/598

Given fractions are 75/17,265/59,645/598

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 75,265,645

Greatest Common Factor of Numerators i.e. GCF of 75,265,645 is 5 .

LCM of Denominators means LCM of 17,59,598 as per the given fractions.

LCM of 17,59,598 is 599794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,265,645

GCF of Fractions 75/17,265/59,645/598 is 5/599794

5 75, 265, 645
15, 53, 129

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 75,265,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,265,645 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 75,265,645 . The biggest common factor number is the GCF number.
So the greatest common factor 75,265,645 is 5.

Lets's calculate LCM of 17,59,598

Given numbers has no common factors except 1. So, there LCM is their product i.e 599794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/599794

Therefore, the GCF of Fractions 75/17,265/59,645/598 is 5/599794

Least Common Multiple of 17,59,598 with GCF Formula

Least Common Multiple of 17,59,598 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 17,59,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,59,598) = 1

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

GCF(17,59,598) x common factors =1 x 1 = 1

LCM(17,59,598) = ( 17 × 59 × 598 ) / 1

LCM(17,59,598) = 599794 / 1

LCM(17,59,598) = 599794


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 75/17, 265/59, 645/598

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 75/17, 265/59, 645/598?

Answer: GCF of Numerators as per given numbers 75/17, 265/59, 645/598 is

GCF of Numerators i.e. for 75,265,645 is 5

LCM of denominators i.e. for 17,59,598 is 599794.

Thus, GCF of Fractions is 5/599794.Finally, GCF of Fractions for 75/17, 265/59, 645/598 is 5/599794.