Greatest Common Factor of 379/559, 246/388, 871/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 379/559, 246/388, 871/786

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 379/559,246/388,871/786

Given fractions are 379/559,246/388,871/786

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 379,246,871

Greatest Common Factor of Numerators i.e. GCF of 379,246,871 is 1 .

LCM of Denominators means LCM of 559,388,786 as per the given fractions.

LCM of 559,388,786 is 85238556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 379,246,871

GCF of Fractions 379/559,246/388,871/786 is 1/85238556

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

Greatest Common Factor of 379,246,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,246,871 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 379,246,871 . The biggest common factor number is the GCF number.
So the greatest common factor 379,246,871 is 1.

Lets's calculate LCM of 559,388,786

2 559, 388, 786
559, 194, 393

∴ So the LCM of the given numbers is 2 x 559 x 194 x 393 = 85238556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85238556

Therefore, the GCF of Fractions 379/559,246/388,871/786 is 1/85238556

Least Common Multiple of 559,388,786 with GCF Formula

Least Common Multiple of 559,388,786 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 559,388,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,388,786) = 1

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

GCF(559,388,786) x common factors =1 x 2 = 2

LCM(559,388,786) = ( 559 × 388 × 786 ) / 2

LCM(559,388,786) = 170477112 / 2

LCM(559,388,786) = 85238556


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 379/559, 246/388, 871/786

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 379/559, 246/388, 871/786?

Answer: GCF of Numerators as per given numbers 379/559, 246/388, 871/786 is

GCF of Numerators i.e. for 379,246,871 is 1

LCM of denominators i.e. for 559,388,786 is 85238556.

Thus, GCF of Fractions is 1/85238556.Finally, GCF of Fractions for 379/559, 246/388, 871/786 is 1/85238556.