Greatest Common Factor of 168/211, 868/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 168/211, 868/674

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 168/211,868/674

Given fractions are 168/211,868/674

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 168,868

Greatest Common Factor of Numerators i.e. GCF of 168,868 is 28 .

LCM of Denominators means LCM of 211,674 as per the given fractions.

LCM of 211,674 is 142214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,868

GCF of Fractions 168/211,868/674 is 28/142214

2 168, 868
2 84, 434
7 42, 217
6, 31

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 168,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,868 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 168,868 . The biggest common factor number is the GCF number.
So the greatest common factor 168,868 is 28.

Lets's calculate LCM of 211,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 142214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/142214

Therefore, the GCF of Fractions 168/211,868/674 is 28/142214

Least Common Multiple of 211,674 with GCF Formula

Least Common Multiple of 211,674 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 211,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,674) = 1

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

GCF(211,674) x common factors =1 x 1 = 1

LCM(211,674) = ( 211 × 674 ) / 1

LCM(211,674) = 142214 / 1

LCM(211,674) = 142214


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 168/211, 868/674

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 168/211, 868/674?

Answer: GCF of Numerators as per given numbers 168/211, 868/674 is

GCF of Numerators i.e. for 168,868 is 28

LCM of denominators i.e. for 211,674 is 142214.

Thus, GCF of Fractions is 28/142214.Finally, GCF of Fractions for 168/211, 868/674 is 28/142214.