Greatest Common Factor of 69/37, 19/12, 936/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/37, 19/12, 936/750

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 69/37,19/12,936/750

Given fractions are 69/37,19/12,936/750

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 69,19,936

Greatest Common Factor of Numerators i.e. GCF of 69,19,936 is 1 .

LCM of Denominators means LCM of 37,12,750 as per the given fractions.

LCM of 37,12,750 is 55500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,19,936

GCF of Fractions 69/37,19/12,936/750 is 1/55500

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

Greatest Common Factor of 69,19,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,19,936 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 69,19,936 . The biggest common factor number is the GCF number.
So the greatest common factor 69,19,936 is 1.

Lets's calculate LCM of 37,12,750

2 37, 12, 750
3 37, 6, 375
37, 2, 125

∴ So the LCM of the given numbers is 2 x 3 x 37 x 2 x 125 = 55500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55500

Therefore, the GCF of Fractions 69/37,19/12,936/750 is 1/55500

Least Common Multiple of 37,12,750 with GCF Formula

Least Common Multiple of 37,12,750 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 37,12,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,12,750) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(37,12,750) x common factors =1 x 6 = 6

LCM(37,12,750) = ( 37 × 12 × 750 ) / 6

LCM(37,12,750) = 333000 / 6

LCM(37,12,750) = 55500


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 69/37, 19/12, 936/750

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 69/37, 19/12, 936/750?

Answer: GCF of Numerators as per given numbers 69/37, 19/12, 936/750 is

GCF of Numerators i.e. for 69,19,936 is 1

LCM of denominators i.e. for 37,12,750 is 55500.

Thus, GCF of Fractions is 1/55500.Finally, GCF of Fractions for 69/37, 19/12, 936/750 is 1/55500.