Greatest Common Factor of 168/31, 595/70, 826/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 168/31, 595/70, 826/14

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 168/31,595/70,826/14

Given fractions are 168/31,595/70,826/14

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 168,595,826

Greatest Common Factor of Numerators i.e. GCF of 168,595,826 is 7 .

LCM of Denominators means LCM of 31,70,14 as per the given fractions.

LCM of 31,70,14 is 2170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,595,826

GCF of Fractions 168/31,595/70,826/14 is 7/2170

7 168, 595, 826
24, 85, 118

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 168,595,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,595,826 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 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 168,595,826 . The biggest common factor number is the GCF number.
So the greatest common factor 168,595,826 is 7.

Lets's calculate LCM of 31,70,14

2 31, 70, 14
7 31, 35, 7
31, 5, 1

∴ So the LCM of the given numbers is 2 x 7 x 31 x 5 x 1 = 2170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2170

Therefore, the GCF of Fractions 168/31,595/70,826/14 is 7/2170

Least Common Multiple of 31,70,14 with GCF Formula

Least Common Multiple of 31,70,14 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 31,70,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,70,14) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(31,70,14) x common factors =1 x 14 = 14

LCM(31,70,14) = ( 31 × 70 × 14 ) / 14

LCM(31,70,14) = 30380 / 14

LCM(31,70,14) = 2170


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 168/31, 595/70, 826/14

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 168/31, 595/70, 826/14?

Answer: GCF of Numerators as per given numbers 168/31, 595/70, 826/14 is

GCF of Numerators i.e. for 168,595,826 is 7

LCM of denominators i.e. for 31,70,14 is 2170.

Thus, GCF of Fractions is 7/2170.Finally, GCF of Fractions for 168/31, 595/70, 826/14 is 7/2170.