Greatest Common Factor of 36/532, 45/646, 921/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 36/532, 45/646, 921/466

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 36/532,45/646,921/466

Given fractions are 36/532,45/646,921/466

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 36,45,921

Greatest Common Factor of Numerators i.e. GCF of 36,45,921 is 3 .

LCM of Denominators means LCM of 532,646,466 as per the given fractions.

LCM of 532,646,466 is 2107252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,45,921

GCF of Fractions 36/532,45/646,921/466 is 3/2107252

3 36, 45, 921
12, 15, 307

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 36,45,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,45,921 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 36,45,921 . The biggest common factor number is the GCF number.
So the greatest common factor 36,45,921 is 3.


Lets's calculate LCM of 532,646,466

2 532, 646, 466
19 266, 323, 233
14, 17, 233

∴ So the LCM of the given numbers is 2 x 19 x 14 x 17 x 233 = 2107252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2107252

Therefore, the GCF of Fractions 36/532,45/646,921/466 is 3/2107252

Least Common Multiple of 532,646,466 with GCF Formula

Least Common Multiple of 532,646,466 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 532,646,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,646,466) = 2

common factors(in case of two or more numbers have common factors) = 38

GCF(532,646,466) x common factors =2 x 38 = 76

LCM(532,646,466) = ( 532 × 646 × 466 ) / 76

LCM(532,646,466) = 160151152 / 76

LCM(532,646,466) = 2107252


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 36/532, 45/646, 921/466

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 36/532, 45/646, 921/466?

Answer: GCF of Numerators as per given numbers 36/532, 45/646, 921/466 is

GCF of Numerators i.e. for 36,45,921 is 3

LCM of denominators i.e. for 532,646,466 is 2107252.

Thus, GCF of Fractions is 3/2107252.Finally, GCF of Fractions for 36/532, 45/646, 921/466 is 3/2107252.