Greatest Common Factor of 6/75, 11/44, 72/924, 236/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/75, 11/44, 72/924, 236/925

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 6/75,11/44,72/924,236/925

Given fractions are 6/75,11/44,72/924,236/925

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 6,11,72,236

Greatest Common Factor of Numerators i.e. GCF of 6,11,72,236 is 1 .

LCM of Denominators means LCM of 75,44,924,925 as per the given fractions.

LCM of 75,44,924,925 is 854700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,11,72,236

GCF of Fractions 6/75,11/44,72/924,236/925 is 1/854700

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

Greatest Common Factor of 6,11,72,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,11,72,236 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 6,11,72,236 . The biggest common factor number is the GCF number.
So the greatest common factor 6,11,72,236 is 1.

Lets's calculate LCM of 75,44,924,925

2 75, 44, 924, 925
2 75, 22, 462, 925
3 75, 11, 231, 925
5 25, 11, 77, 925
5 5, 11, 77, 185
11 1, 11, 77, 37
1, 1, 7, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 11 x 1 x 1 x 7 x 37 = 854700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/854700

Therefore, the GCF of Fractions 6/75,11/44,72/924,236/925 is 1/854700

Least Common Multiple of 75,44,924,925 with GCF Formula

Least Common Multiple of 75,44,924,925 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 75,44,924,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,44,924,925) = 1

common factors(in case of two or more numbers have common factors) = 3300

GCF(75,44,924,925) x common factors =1 x 3300 = 3300

LCM(75,44,924,925) = ( 75 × 44 × 924 × 925 ) / 3300

LCM(75,44,924,925) = 2820510000 / 3300

LCM(75,44,924,925) = 854700


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 6/75, 11/44, 72/924, 236/925

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 6/75, 11/44, 72/924, 236/925?

Answer: GCF of Numerators as per given numbers 6/75, 11/44, 72/924, 236/925 is

GCF of Numerators i.e. for 6,11,72,236 is 1

LCM of denominators i.e. for 75,44,924,925 is 854700.

Thus, GCF of Fractions is 1/854700.Finally, GCF of Fractions for 6/75, 11/44, 72/924, 236/925 is 1/854700.