Greatest Common Factor of 168/363, 640/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 168/363, 640/958

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 168/363,640/958

Given fractions are 168/363,640/958

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 168,640

Greatest Common Factor of Numerators i.e. GCF of 168,640 is 8 .

LCM of Denominators means LCM of 363,958 as per the given fractions.

LCM of 363,958 is 347754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,640

GCF of Fractions 168/363,640/958 is 8/347754

2 168, 640
2 84, 320
2 42, 160
21, 80

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 168,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,640 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 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 168,640 . The biggest common factor number is the GCF number.
So the greatest common factor 168,640 is 8.

Lets's calculate LCM of 363,958

Given numbers has no common factors except 1. So, there LCM is their product i.e 347754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/347754

Therefore, the GCF of Fractions 168/363,640/958 is 8/347754

Least Common Multiple of 363,958 with GCF Formula

Least Common Multiple of 363,958 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 363,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,958) = 1

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

GCF(363,958) x common factors =1 x 1 = 1

LCM(363,958) = ( 363 × 958 ) / 1

LCM(363,958) = 347754 / 1

LCM(363,958) = 347754


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 168/363, 640/958

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 168/363, 640/958?

Answer: GCF of Numerators as per given numbers 168/363, 640/958 is

GCF of Numerators i.e. for 168,640 is 8

LCM of denominators i.e. for 363,958 is 347754.

Thus, GCF of Fractions is 8/347754.Finally, GCF of Fractions for 168/363, 640/958 is 8/347754.