Greatest Common Factor of 492/417, 7851/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 492/417, 7851/225

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 492/417,7851/225

Given fractions are 492/417,7851/225

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 492,7851

Greatest Common Factor of Numerators i.e. GCF of 492,7851 is 3 .

LCM of Denominators means LCM of 417,225 as per the given fractions.

LCM of 417,225 is 31275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 492,7851

GCF of Fractions 492/417,7851/225 is 3/31275

3 492, 7851
164, 2617

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

Greatest Common Factor of 492,7851 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,7851 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 7851

List of positive integer factors of 7851 that divides 7851 without a remainder.

1,3,2617,7851

Greatest Common Factor

We found the factors 492,7851 . The biggest common factor number is the GCF number.
So the greatest common factor 492,7851 is 3.

Lets's calculate LCM of 417,225

3 417, 225
139, 75

∴ So the LCM of the given numbers is 3 x 139 x 75 = 31275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31275

Therefore, the GCF of Fractions 492/417,7851/225 is 3/31275

Least Common Multiple of 417,225 with GCF Formula

Least Common Multiple of 417,225 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 417,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,225) = 3

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

GCF(417,225) x common factors =3 x 1 = 3

LCM(417,225) = ( 417 × 225 ) / 3

LCM(417,225) = 93825 / 3

LCM(417,225) = 31275


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 492/417, 7851/225

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 492/417, 7851/225?

Answer: GCF of Numerators as per given numbers 492/417, 7851/225 is

GCF of Numerators i.e. for 492,7851 is 3

LCM of denominators i.e. for 417,225 is 31275.

Thus, GCF of Fractions is 3/31275.Finally, GCF of Fractions for 492/417, 7851/225 is 3/31275.