Greatest Common Factor of 573/975, 827/873, 697/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/975, 827/873, 697/405

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 573/975,827/873,697/405

Given fractions are 573/975,827/873,697/405

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 573,827,697

Greatest Common Factor of Numerators i.e. GCF of 573,827,697 is 1 .

LCM of Denominators means LCM of 975,873,405 as per the given fractions.

LCM of 975,873,405 is 2553525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,827,697

GCF of Fractions 573/975,827/873,697/405 is 1/2553525

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

Greatest Common Factor of 573,827,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,827,697 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 573,827,697 . The biggest common factor number is the GCF number.
So the greatest common factor 573,827,697 is 1.

Lets's calculate LCM of 975,873,405

3 975, 873, 405
3 325, 291, 135
5 325, 97, 45
65, 97, 9

∴ So the LCM of the given numbers is 3 x 3 x 5 x 65 x 97 x 9 = 2553525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2553525

Therefore, the GCF of Fractions 573/975,827/873,697/405 is 1/2553525

Least Common Multiple of 975,873,405 with GCF Formula

Least Common Multiple of 975,873,405 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 975,873,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,873,405) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(975,873,405) x common factors =3 x 45 = 135

LCM(975,873,405) = ( 975 × 873 × 405 ) / 135

LCM(975,873,405) = 344725875 / 135

LCM(975,873,405) = 2553525


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 573/975, 827/873, 697/405

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 573/975, 827/873, 697/405?

Answer: GCF of Numerators as per given numbers 573/975, 827/873, 697/405 is

GCF of Numerators i.e. for 573,827,697 is 1

LCM of denominators i.e. for 975,873,405 is 2553525.

Thus, GCF of Fractions is 1/2553525.Finally, GCF of Fractions for 573/975, 827/873, 697/405 is 1/2553525.