Greatest Common Factor of 315/33, 936/71, 807/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 315/33, 936/71, 807/580

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 315/33,936/71,807/580

Given fractions are 315/33,936/71,807/580

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 315,936,807

Greatest Common Factor of Numerators i.e. GCF of 315,936,807 is 3 .

LCM of Denominators means LCM of 33,71,580 as per the given fractions.

LCM of 33,71,580 is 1358940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 315,936,807

GCF of Fractions 315/33,936/71,807/580 is 3/1358940

3 315, 936, 807
105, 312, 269

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

Greatest Common Factor of 315,936,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,936,807 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

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 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 315,936,807 . The biggest common factor number is the GCF number.
So the greatest common factor 315,936,807 is 3.

Lets's calculate LCM of 33,71,580

Given numbers has no common factors except 1. So, there LCM is their product i.e 1358940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1358940

Therefore, the GCF of Fractions 315/33,936/71,807/580 is 3/1358940

Least Common Multiple of 33,71,580 with GCF Formula

Least Common Multiple of 33,71,580 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 33,71,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,71,580) = 1

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

GCF(33,71,580) x common factors =1 x 1 = 1

LCM(33,71,580) = ( 33 × 71 × 580 ) / 1

LCM(33,71,580) = 1358940 / 1

LCM(33,71,580) = 1358940


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 315/33, 936/71, 807/580

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 315/33, 936/71, 807/580?

Answer: GCF of Numerators as per given numbers 315/33, 936/71, 807/580 is

GCF of Numerators i.e. for 315,936,807 is 3

LCM of denominators i.e. for 33,71,580 is 1358940.

Thus, GCF of Fractions is 3/1358940.Finally, GCF of Fractions for 315/33, 936/71, 807/580 is 3/1358940.