Greatest Common Factor of 4297/846, 8525/6573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4297/846, 8525/6573

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 4297/846,8525/6573

Given fractions are 4297/846,8525/6573

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 4297,8525

Greatest Common Factor of Numerators i.e. GCF of 4297,8525 is 1 .

LCM of Denominators means LCM of 846,6573 as per the given fractions.

LCM of 846,6573 is 1853586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4297,8525

GCF of Fractions 4297/846,8525/6573 is 1/1853586

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

Greatest Common Factor of 4297,8525 By Matching Biggest Common Factor Method

Greatest Common Factor of 4297,8525 By Matching Biggest Common Factor Method

Factors of 4297

List of positive integer factors of 4297 that divides 4297 without a remainder.

1,4297

Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1,5,11,25,31,55,155,275,341,775,1705,8525

Greatest Common Factor

We found the factors 4297,8525 . The biggest common factor number is the GCF number.
So the greatest common factor 4297,8525 is 1.

Lets's calculate LCM of 846,6573

3 846, 6573
282, 2191

∴ So the LCM of the given numbers is 3 x 282 x 2191 = 1853586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1853586

Therefore, the GCF of Fractions 4297/846,8525/6573 is 1/1853586

Least Common Multiple of 846,6573 with GCF Formula

Least Common Multiple of 846,6573 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 846,6573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,6573) = 3

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

GCF(846,6573) x common factors =3 x 1 = 3

LCM(846,6573) = ( 846 × 6573 ) / 3

LCM(846,6573) = 5560758 / 3

LCM(846,6573) = 1853586


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 4297/846, 8525/6573

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 4297/846, 8525/6573?

Answer: GCF of Numerators as per given numbers 4297/846, 8525/6573 is

GCF of Numerators i.e. for 4297,8525 is 1

LCM of denominators i.e. for 846,6573 is 1853586.

Thus, GCF of Fractions is 1/1853586.Finally, GCF of Fractions for 4297/846, 8525/6573 is 1/1853586.