Greatest Common Factor of 973/584, 720/205, 935/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 973/584, 720/205, 935/457

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 973/584,720/205,935/457

Given fractions are 973/584,720/205,935/457

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 973,720,935

Greatest Common Factor of Numerators i.e. GCF of 973,720,935 is 1 .

LCM of Denominators means LCM of 584,205,457 as per the given fractions.

LCM of 584,205,457 is 54712040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 973,720,935

GCF of Fractions 973/584,720/205,935/457 is 1/54712040

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

Greatest Common Factor of 973,720,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,720,935 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 973,720,935 . The biggest common factor number is the GCF number.
So the greatest common factor 973,720,935 is 1.

Lets's calculate LCM of 584,205,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 54712040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54712040

Therefore, the GCF of Fractions 973/584,720/205,935/457 is 1/54712040

Least Common Multiple of 584,205,457 with GCF Formula

Least Common Multiple of 584,205,457 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 584,205,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,205,457) = 1

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

GCF(584,205,457) x common factors =1 x 1 = 1

LCM(584,205,457) = ( 584 × 205 × 457 ) / 1

LCM(584,205,457) = 54712040 / 1

LCM(584,205,457) = 54712040


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 973/584, 720/205, 935/457

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 973/584, 720/205, 935/457?

Answer: GCF of Numerators as per given numbers 973/584, 720/205, 935/457 is

GCF of Numerators i.e. for 973,720,935 is 1

LCM of denominators i.e. for 584,205,457 is 54712040.

Thus, GCF of Fractions is 1/54712040.Finally, GCF of Fractions for 973/584, 720/205, 935/457 is 1/54712040.