Greatest Common Factor of 46/264, 23/484, 663/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/264, 23/484, 663/984

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 46/264,23/484,663/984

Given fractions are 46/264,23/484,663/984

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 46,23,663

Greatest Common Factor of Numerators i.e. GCF of 46,23,663 is 1 .

LCM of Denominators means LCM of 264,484,984 as per the given fractions.

LCM of 264,484,984 is 119064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,23,663

GCF of Fractions 46/264,23/484,663/984 is 1/119064

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 46,23,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,23,663 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 46,23,663 . The biggest common factor number is the GCF number.
So the greatest common factor 46,23,663 is 1.

Lets's calculate LCM of 264,484,984

2 264, 484, 984
2 132, 242, 492
2 66, 121, 246
3 33, 121, 123
11 11, 121, 41
1, 11, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 11 x 41 = 119064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119064

Therefore, the GCF of Fractions 46/264,23/484,663/984 is 1/119064

Least Common Multiple of 264,484,984 with GCF Formula

Least Common Multiple of 264,484,984 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 264,484,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,484,984) = 4

common factors(in case of two or more numbers have common factors) = 264

GCF(264,484,984) x common factors =4 x 264 = 1056

LCM(264,484,984) = ( 264 × 484 × 984 ) / 1056

LCM(264,484,984) = 125731584 / 1056

LCM(264,484,984) = 119064


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 46/264, 23/484, 663/984

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 46/264, 23/484, 663/984?

Answer: GCF of Numerators as per given numbers 46/264, 23/484, 663/984 is

GCF of Numerators i.e. for 46,23,663 is 1

LCM of denominators i.e. for 264,484,984 is 119064.

Thus, GCF of Fractions is 1/119064.Finally, GCF of Fractions for 46/264, 23/484, 663/984 is 1/119064.