Greatest Common Factor of 643/44, 418/74, 617/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 643/44, 418/74, 617/888

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 643/44,418/74,617/888

Given fractions are 643/44,418/74,617/888

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 643,418,617

Greatest Common Factor of Numerators i.e. GCF of 643,418,617 is 1 .

LCM of Denominators means LCM of 44,74,888 as per the given fractions.

LCM of 44,74,888 is 9768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 643,418,617

GCF of Fractions 643/44,418/74,617/888 is 1/9768

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

Greatest Common Factor of 643,418,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,418,617 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 643,418,617 . The biggest common factor number is the GCF number.
So the greatest common factor 643,418,617 is 1.

Lets's calculate LCM of 44,74,888

2 44, 74, 888
2 22, 37, 444
37 11, 37, 222
11, 1, 6

∴ So the LCM of the given numbers is 2 x 2 x 37 x 11 x 1 x 6 = 9768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9768

Therefore, the GCF of Fractions 643/44,418/74,617/888 is 1/9768

Least Common Multiple of 44,74,888 with GCF Formula

Least Common Multiple of 44,74,888 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 44,74,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,74,888) = 2

common factors(in case of two or more numbers have common factors) = 148

GCF(44,74,888) x common factors =2 x 148 = 296

LCM(44,74,888) = ( 44 × 74 × 888 ) / 296

LCM(44,74,888) = 2891328 / 296

LCM(44,74,888) = 9768


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 643/44, 418/74, 617/888

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 643/44, 418/74, 617/888?

Answer: GCF of Numerators as per given numbers 643/44, 418/74, 617/888 is

GCF of Numerators i.e. for 643,418,617 is 1

LCM of denominators i.e. for 44,74,888 is 9768.

Thus, GCF of Fractions is 1/9768.Finally, GCF of Fractions for 643/44, 418/74, 617/888 is 1/9768.