Greatest Common Factor of 733/65, 785/37, 870/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/65, 785/37, 870/931

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 733/65,785/37,870/931

Given fractions are 733/65,785/37,870/931

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 733,785,870

Greatest Common Factor of Numerators i.e. GCF of 733,785,870 is 1 .

LCM of Denominators means LCM of 65,37,931 as per the given fractions.

LCM of 65,37,931 is 2239055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,785,870

GCF of Fractions 733/65,785/37,870/931 is 1/2239055

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

Greatest Common Factor of 733,785,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,785,870 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 733,785,870 . The biggest common factor number is the GCF number.
So the greatest common factor 733,785,870 is 1.

Lets's calculate LCM of 65,37,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 2239055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2239055

Therefore, the GCF of Fractions 733/65,785/37,870/931 is 1/2239055

Least Common Multiple of 65,37,931 with GCF Formula

Least Common Multiple of 65,37,931 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 65,37,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,37,931) = 1

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

GCF(65,37,931) x common factors =1 x 1 = 1

LCM(65,37,931) = ( 65 × 37 × 931 ) / 1

LCM(65,37,931) = 2239055 / 1

LCM(65,37,931) = 2239055


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 733/65, 785/37, 870/931

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 733/65, 785/37, 870/931?

Answer: GCF of Numerators as per given numbers 733/65, 785/37, 870/931 is

GCF of Numerators i.e. for 733,785,870 is 1

LCM of denominators i.e. for 65,37,931 is 2239055.

Thus, GCF of Fractions is 1/2239055.Finally, GCF of Fractions for 733/65, 785/37, 870/931 is 1/2239055.