Greatest Common Factor of 888/687, 279/751, 419/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 888/687, 279/751, 419/987

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 888/687,279/751,419/987

Given fractions are 888/687,279/751,419/987

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 888,279,419

Greatest Common Factor of Numerators i.e. GCF of 888,279,419 is 1 .

LCM of Denominators means LCM of 687,751,987 as per the given fractions.

LCM of 687,751,987 is 169743273 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 888,279,419

GCF of Fractions 888/687,279/751,419/987 is 1/169743273

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

Greatest Common Factor of 888,279,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,279,419 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 888,279,419 . The biggest common factor number is the GCF number.
So the greatest common factor 888,279,419 is 1.

Lets's calculate LCM of 687,751,987

3 687, 751, 987
229, 751, 329

∴ So the LCM of the given numbers is 3 x 229 x 751 x 329 = 169743273

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169743273

Therefore, the GCF of Fractions 888/687,279/751,419/987 is 1/169743273

Least Common Multiple of 687,751,987 with GCF Formula

Least Common Multiple of 687,751,987 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 687,751,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,751,987) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(687,751,987) x common factors =1 x 3 = 3

LCM(687,751,987) = ( 687 × 751 × 987 ) / 3

LCM(687,751,987) = 509229819 / 3

LCM(687,751,987) = 169743273


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 888/687, 279/751, 419/987

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 888/687, 279/751, 419/987?

Answer: GCF of Numerators as per given numbers 888/687, 279/751, 419/987 is

GCF of Numerators i.e. for 888,279,419 is 1

LCM of denominators i.e. for 687,751,987 is 169743273.

Thus, GCF of Fractions is 1/169743273.Finally, GCF of Fractions for 888/687, 279/751, 419/987 is 1/169743273.