Greatest Common Factor of 597/10, 8451/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 597/10, 8451/505

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 597/10,8451/505

Given fractions are 597/10,8451/505

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 597,8451

Greatest Common Factor of Numerators i.e. GCF of 597,8451 is 3 .

LCM of Denominators means LCM of 10,505 as per the given fractions.

LCM of 10,505 is 1010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 597,8451

GCF of Fractions 597/10,8451/505 is 3/1010

3 597, 8451
199, 2817

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

Greatest Common Factor of 597,8451 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,8451 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 8451

List of positive integer factors of 8451 that divides 8451 without a remainder.

1,3,9,27,313,939,2817,8451

Greatest Common Factor

We found the factors 597,8451 . The biggest common factor number is the GCF number.
So the greatest common factor 597,8451 is 3.

Lets's calculate LCM of 10,505

5 10, 505
2, 101

∴ So the LCM of the given numbers is 5 x 2 x 101 = 1010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1010

Therefore, the GCF of Fractions 597/10,8451/505 is 3/1010

Least Common Multiple of 10,505 with GCF Formula

Least Common Multiple of 10,505 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 10,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,505) = 5

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

GCF(10,505) x common factors =5 x 1 = 5

LCM(10,505) = ( 10 × 505 ) / 5

LCM(10,505) = 5050 / 5

LCM(10,505) = 1010


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 597/10, 8451/505

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 597/10, 8451/505?

Answer: GCF of Numerators as per given numbers 597/10, 8451/505 is

GCF of Numerators i.e. for 597,8451 is 3

LCM of denominators i.e. for 10,505 is 1010.

Thus, GCF of Fractions is 3/1010.Finally, GCF of Fractions for 597/10, 8451/505 is 3/1010.