Greatest Common Factor of 239/60, 856/6314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 239/60, 856/6314

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 239/60,856/6314

Given fractions are 239/60,856/6314

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 239,856

Greatest Common Factor of Numerators i.e. GCF of 239,856 is 1 .

LCM of Denominators means LCM of 60,6314 as per the given fractions.

LCM of 60,6314 is 189420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 239,856

GCF of Fractions 239/60,856/6314 is 1/189420

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

Greatest Common Factor of 239,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,856 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 239,856 . The biggest common factor number is the GCF number.
So the greatest common factor 239,856 is 1.

Lets's calculate LCM of 60,6314

2 60, 6314
30, 3157

∴ So the LCM of the given numbers is 2 x 30 x 3157 = 189420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189420

Therefore, the GCF of Fractions 239/60,856/6314 is 1/189420

Least Common Multiple of 60,6314 with GCF Formula

Least Common Multiple of 60,6314 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 60,6314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,6314) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(60,6314) x common factors =2 x 1 = 2

LCM(60,6314) = ( 60 × 6314 ) / 2

LCM(60,6314) = 378840 / 2

LCM(60,6314) = 189420


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 239/60, 856/6314

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 239/60, 856/6314?

Answer: GCF of Numerators as per given numbers 239/60, 856/6314 is

GCF of Numerators i.e. for 239,856 is 1

LCM of denominators i.e. for 60,6314 is 189420.

Thus, GCF of Fractions is 1/189420.Finally, GCF of Fractions for 239/60, 856/6314 is 1/189420.