Greatest Common Factor of 858/214, 867/708, 117/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 858/214, 867/708, 117/232

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 858/214,867/708,117/232

Given fractions are 858/214,867/708,117/232

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 858,867,117

Greatest Common Factor of Numerators i.e. GCF of 858,867,117 is 3 .

LCM of Denominators means LCM of 214,708,232 as per the given fractions.

LCM of 214,708,232 is 4393848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 858,867,117

GCF of Fractions 858/214,867/708,117/232 is 3/4393848

3 858, 867, 117
286, 289, 39

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 858,867,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,867,117 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 858,867,117 . The biggest common factor number is the GCF number.
So the greatest common factor 858,867,117 is 3.

Lets's calculate LCM of 214,708,232

2 214, 708, 232
2 107, 354, 116
107, 177, 58

∴ So the LCM of the given numbers is 2 x 2 x 107 x 177 x 58 = 4393848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4393848

Therefore, the GCF of Fractions 858/214,867/708,117/232 is 3/4393848

Least Common Multiple of 214,708,232 with GCF Formula

Least Common Multiple of 214,708,232 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 214,708,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,708,232) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(214,708,232) x common factors =2 x 4 = 8

LCM(214,708,232) = ( 214 × 708 × 232 ) / 8

LCM(214,708,232) = 35150784 / 8

LCM(214,708,232) = 4393848


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 858/214, 867/708, 117/232

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 858/214, 867/708, 117/232?

Answer: GCF of Numerators as per given numbers 858/214, 867/708, 117/232 is

GCF of Numerators i.e. for 858,867,117 is 3

LCM of denominators i.e. for 214,708,232 is 4393848.

Thus, GCF of Fractions is 3/4393848.Finally, GCF of Fractions for 858/214, 867/708, 117/232 is 3/4393848.