Greatest Common Factor of 626/987, 715/188, 812/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/987, 715/188, 812/692

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 626/987,715/188,812/692

Given fractions are 626/987,715/188,812/692

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 626,715,812

Greatest Common Factor of Numerators i.e. GCF of 626,715,812 is 1 .

LCM of Denominators means LCM of 987,188,692 as per the given fractions.

LCM of 987,188,692 is 683004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,715,812

GCF of Fractions 626/987,715/188,812/692 is 1/683004

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

Greatest Common Factor of 626,715,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,715,812 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 626,715,812 . The biggest common factor number is the GCF number.
So the greatest common factor 626,715,812 is 1.

Lets's calculate LCM of 987,188,692

2 987, 188, 692
2 987, 94, 346
47 987, 47, 173
21, 1, 173

∴ So the LCM of the given numbers is 2 x 2 x 47 x 21 x 1 x 173 = 683004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/683004

Therefore, the GCF of Fractions 626/987,715/188,812/692 is 1/683004

Least Common Multiple of 987,188,692 with GCF Formula

Least Common Multiple of 987,188,692 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 987,188,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,188,692) = 1

common factors(in case of two or more numbers have common factors) = 188

GCF(987,188,692) x common factors =1 x 188 = 188

LCM(987,188,692) = ( 987 × 188 × 692 ) / 188

LCM(987,188,692) = 128404752 / 188

LCM(987,188,692) = 683004


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 626/987, 715/188, 812/692

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 626/987, 715/188, 812/692?

Answer: GCF of Numerators as per given numbers 626/987, 715/188, 812/692 is

GCF of Numerators i.e. for 626,715,812 is 1

LCM of denominators i.e. for 987,188,692 is 683004.

Thus, GCF of Fractions is 1/683004.Finally, GCF of Fractions for 626/987, 715/188, 812/692 is 1/683004.