Greatest Common Factor of 936/757, 3009/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 936/757, 3009/825

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 936/757,3009/825

Given fractions are 936/757,3009/825

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 936,3009

Greatest Common Factor of Numerators i.e. GCF of 936,3009 is 3 .

LCM of Denominators means LCM of 757,825 as per the given fractions.

LCM of 757,825 is 624525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 936,3009

GCF of Fractions 936/757,3009/825 is 3/624525

3 936, 3009
312, 1003

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

Greatest Common Factor of 936,3009 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,3009 By Matching Biggest Common Factor Method

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

Factors of 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1,3,17,51,59,177,1003,3009

Greatest Common Factor

We found the factors 936,3009 . The biggest common factor number is the GCF number.
So the greatest common factor 936,3009 is 3.

Lets's calculate LCM of 757,825

Given numbers has no common factors except 1. So, there LCM is their product i.e 624525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/624525

Therefore, the GCF of Fractions 936/757,3009/825 is 3/624525

Least Common Multiple of 757,825 with GCF Formula

Least Common Multiple of 757,825 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 757,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,825) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(757,825) x common factors =1 x 1 = 1

LCM(757,825) = ( 757 × 825 ) / 1

LCM(757,825) = 624525 / 1

LCM(757,825) = 624525


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 936/757, 3009/825

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 936/757, 3009/825?

Answer: GCF of Numerators as per given numbers 936/757, 3009/825 is

GCF of Numerators i.e. for 936,3009 is 3

LCM of denominators i.e. for 757,825 is 624525.

Thus, GCF of Fractions is 3/624525.Finally, GCF of Fractions for 936/757, 3009/825 is 3/624525.