Greatest Common Factor of 859/228, 919/618, 714/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 859/228, 919/618, 714/247

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 859/228,919/618,714/247

Given fractions are 859/228,919/618,714/247

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 859,919,714

Greatest Common Factor of Numerators i.e. GCF of 859,919,714 is 1 .

LCM of Denominators means LCM of 228,618,247 as per the given fractions.

LCM of 228,618,247 is 305292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 859,919,714

GCF of Fractions 859/228,919/618,714/247 is 1/305292

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

Greatest Common Factor of 859,919,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,919,714 By Matching Biggest Common Factor Method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 859,919,714 . The biggest common factor number is the GCF number.
So the greatest common factor 859,919,714 is 1.

Lets's calculate LCM of 228,618,247

2 228, 618, 247
3 114, 309, 247
19 38, 103, 247
2, 103, 13

∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 103 x 13 = 305292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305292

Therefore, the GCF of Fractions 859/228,919/618,714/247 is 1/305292

Least Common Multiple of 228,618,247 with GCF Formula

Least Common Multiple of 228,618,247 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 228,618,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,618,247) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(228,618,247) x common factors =1 x 114 = 114

LCM(228,618,247) = ( 228 × 618 × 247 ) / 114

LCM(228,618,247) = 34803288 / 114

LCM(228,618,247) = 305292


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 859/228, 919/618, 714/247

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 859/228, 919/618, 714/247?

Answer: GCF of Numerators as per given numbers 859/228, 919/618, 714/247 is

GCF of Numerators i.e. for 859,919,714 is 1

LCM of denominators i.e. for 228,618,247 is 305292.

Thus, GCF of Fractions is 1/305292.Finally, GCF of Fractions for 859/228, 919/618, 714/247 is 1/305292.