Greatest Common Factor of 643/722, 385/550, 912/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 643/722, 385/550, 912/186

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 643/722,385/550,912/186

Given fractions are 643/722,385/550,912/186

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 643,385,912

Greatest Common Factor of Numerators i.e. GCF of 643,385,912 is 1 .

LCM of Denominators means LCM of 722,550,186 as per the given fractions.

LCM of 722,550,186 is 18465150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 643,385,912

GCF of Fractions 643/722,385/550,912/186 is 1/18465150

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

Greatest Common Factor of 643,385,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,385,912 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 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 643,385,912 . The biggest common factor number is the GCF number.
So the greatest common factor 643,385,912 is 1.

Lets's calculate LCM of 722,550,186

2 722, 550, 186
361, 275, 93

∴ So the LCM of the given numbers is 2 x 361 x 275 x 93 = 18465150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18465150

Therefore, the GCF of Fractions 643/722,385/550,912/186 is 1/18465150

Least Common Multiple of 722,550,186 with GCF Formula

Least Common Multiple of 722,550,186 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 722,550,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,550,186) = 2

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

GCF(722,550,186) x common factors =2 x 2 = 4

LCM(722,550,186) = ( 722 × 550 × 186 ) / 4

LCM(722,550,186) = 73860600 / 4

LCM(722,550,186) = 18465150


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 643/722, 385/550, 912/186

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 643/722, 385/550, 912/186?

Answer: GCF of Numerators as per given numbers 643/722, 385/550, 912/186 is

GCF of Numerators i.e. for 643,385,912 is 1

LCM of denominators i.e. for 722,550,186 is 18465150.

Thus, GCF of Fractions is 1/18465150.Finally, GCF of Fractions for 643/722, 385/550, 912/186 is 1/18465150.