Greatest Common Factor of 968/41, 664/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 968/41, 664/883

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 968/41,664/883

Given fractions are 968/41,664/883

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 968,664

Greatest Common Factor of Numerators i.e. GCF of 968,664 is 8 .

LCM of Denominators means LCM of 41,883 as per the given fractions.

LCM of 41,883 is 36203 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 968,664

GCF of Fractions 968/41,664/883 is 8/36203

2 968, 664
2 484, 332
2 242, 166
121, 83

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

Greatest Common Factor of 968,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,664 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 968,664 . The biggest common factor number is the GCF number.
So the greatest common factor 968,664 is 8.

Lets's calculate LCM of 41,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 36203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/36203

Therefore, the GCF of Fractions 968/41,664/883 is 8/36203

Least Common Multiple of 41,883 with GCF Formula

Least Common Multiple of 41,883 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 41,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,883) = 1

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

GCF(41,883) x common factors =1 x 1 = 1

LCM(41,883) = ( 41 × 883 ) / 1

LCM(41,883) = 36203 / 1

LCM(41,883) = 36203


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 968/41, 664/883

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 968/41, 664/883?

Answer: GCF of Numerators as per given numbers 968/41, 664/883 is

GCF of Numerators i.e. for 968,664 is 8

LCM of denominators i.e. for 41,883 is 36203.

Thus, GCF of Fractions is 8/36203.Finally, GCF of Fractions for 968/41, 664/883 is 8/36203.