Greatest Common Factor of 46/922, 667/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/922, 667/964

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 46/922,667/964

Given fractions are 46/922,667/964

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 46,667

Greatest Common Factor of Numerators i.e. GCF of 46,667 is 23 .

LCM of Denominators means LCM of 922,964 as per the given fractions.

LCM of 922,964 is 444404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,667

GCF of Fractions 46/922,667/964 is 23/444404

23 46, 667
2, 29

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 46,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,667 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 46,667 . The biggest common factor number is the GCF number.
So the greatest common factor 46,667 is 23.

Lets's calculate LCM of 922,964

2 922, 964
461, 482

∴ So the LCM of the given numbers is 2 x 461 x 482 = 444404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/444404

Therefore, the GCF of Fractions 46/922,667/964 is 23/444404

Least Common Multiple of 922,964 with GCF Formula

Least Common Multiple of 922,964 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 922,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,964) = 2

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

GCF(922,964) x common factors =2 x 1 = 2

LCM(922,964) = ( 922 × 964 ) / 2

LCM(922,964) = 888808 / 2

LCM(922,964) = 444404


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 46/922, 667/964

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 46/922, 667/964?

Answer: GCF of Numerators as per given numbers 46/922, 667/964 is

GCF of Numerators i.e. for 46,667 is 23

LCM of denominators i.e. for 922,964 is 444404.

Thus, GCF of Fractions is 23/444404.Finally, GCF of Fractions for 46/922, 667/964 is 23/444404.