Greatest Common Factor of 36/946, 24/833, 868/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/946, 24/833, 868/672

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 36/946,24/833,868/672

Given fractions are 36/946,24/833,868/672

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 36,24,868

Greatest Common Factor of Numerators i.e. GCF of 36,24,868 is 4 .

LCM of Denominators means LCM of 946,833,672 as per the given fractions.

LCM of 946,833,672 is 37824864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,24,868

GCF of Fractions 36/946,24/833,868/672 is 4/37824864

2 36, 24, 868
2 18, 12, 434
9, 6, 217

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 36,24,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,24,868 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 36,24,868 . The biggest common factor number is the GCF number.
So the greatest common factor 36,24,868 is 4.

Lets's calculate LCM of 946,833,672

2 946, 833, 672
7 473, 833, 336
473, 119, 48

∴ So the LCM of the given numbers is 2 x 7 x 473 x 119 x 48 = 37824864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/37824864

Therefore, the GCF of Fractions 36/946,24/833,868/672 is 4/37824864

Least Common Multiple of 946,833,672 with GCF Formula

Least Common Multiple of 946,833,672 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 946,833,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,833,672) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(946,833,672) x common factors =1 x 14 = 14

LCM(946,833,672) = ( 946 × 833 × 672 ) / 14

LCM(946,833,672) = 529548096 / 14

LCM(946,833,672) = 37824864


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 36/946, 24/833, 868/672

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 36/946, 24/833, 868/672?

Answer: GCF of Numerators as per given numbers 36/946, 24/833, 868/672 is

GCF of Numerators i.e. for 36,24,868 is 4

LCM of denominators i.e. for 946,833,672 is 37824864.

Thus, GCF of Fractions is 4/37824864.Finally, GCF of Fractions for 36/946, 24/833, 868/672 is 4/37824864.