Greatest Common Factor of 460/806, 338/889, 677/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/806, 338/889, 677/888

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 460/806,338/889,677/888

Given fractions are 460/806,338/889,677/888

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 460,338,677

Greatest Common Factor of Numerators i.e. GCF of 460,338,677 is 1 .

LCM of Denominators means LCM of 806,889,888 as per the given fractions.

LCM of 806,889,888 is 318141096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,338,677

GCF of Fractions 460/806,338/889,677/888 is 1/318141096

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

Greatest Common Factor of 460,338,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,338,677 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 460,338,677 . The biggest common factor number is the GCF number.
So the greatest common factor 460,338,677 is 1.

Lets's calculate LCM of 806,889,888

2 806, 889, 888
403, 889, 444

∴ So the LCM of the given numbers is 2 x 403 x 889 x 444 = 318141096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318141096

Therefore, the GCF of Fractions 460/806,338/889,677/888 is 1/318141096

Least Common Multiple of 806,889,888 with GCF Formula

Least Common Multiple of 806,889,888 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 806,889,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,889,888) = 1

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

GCF(806,889,888) x common factors =1 x 2 = 2

LCM(806,889,888) = ( 806 × 889 × 888 ) / 2

LCM(806,889,888) = 636282192 / 2

LCM(806,889,888) = 318141096


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 460/806, 338/889, 677/888

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 460/806, 338/889, 677/888?

Answer: GCF of Numerators as per given numbers 460/806, 338/889, 677/888 is

GCF of Numerators i.e. for 460,338,677 is 1

LCM of denominators i.e. for 806,889,888 is 318141096.

Thus, GCF of Fractions is 1/318141096.Finally, GCF of Fractions for 460/806, 338/889, 677/888 is 1/318141096.