Greatest Common Factor of 69/518, 975/237, 687/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/518, 975/237, 687/698

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 69/518,975/237,687/698

Given fractions are 69/518,975/237,687/698

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 69,975,687

Greatest Common Factor of Numerators i.e. GCF of 69,975,687 is 3 .

LCM of Denominators means LCM of 518,237,698 as per the given fractions.

LCM of 518,237,698 is 42845334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,975,687

GCF of Fractions 69/518,975/237,687/698 is 3/42845334

3 69, 975, 687
23, 325, 229

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 69,975,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,975,687 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 69,975,687 . The biggest common factor number is the GCF number.
So the greatest common factor 69,975,687 is 3.

Lets's calculate LCM of 518,237,698

2 518, 237, 698
259, 237, 349

∴ So the LCM of the given numbers is 2 x 259 x 237 x 349 = 42845334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42845334

Therefore, the GCF of Fractions 69/518,975/237,687/698 is 3/42845334

Least Common Multiple of 518,237,698 with GCF Formula

Least Common Multiple of 518,237,698 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 518,237,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,237,698) = 1

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

GCF(518,237,698) x common factors =1 x 2 = 2

LCM(518,237,698) = ( 518 × 237 × 698 ) / 2

LCM(518,237,698) = 85690668 / 2

LCM(518,237,698) = 42845334


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 69/518, 975/237, 687/698

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 69/518, 975/237, 687/698?

Answer: GCF of Numerators as per given numbers 69/518, 975/237, 687/698 is

GCF of Numerators i.e. for 69,975,687 is 3

LCM of denominators i.e. for 518,237,698 is 42845334.

Thus, GCF of Fractions is 3/42845334.Finally, GCF of Fractions for 69/518, 975/237, 687/698 is 3/42845334.