Greatest Common Factor of 3252/45, 9452/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3252/45, 9452/457

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 3252/45,9452/457

Given fractions are 3252/45,9452/457

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 3252,9452

Greatest Common Factor of Numerators i.e. GCF of 3252,9452 is 4 .

LCM of Denominators means LCM of 45,457 as per the given fractions.

LCM of 45,457 is 20565 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3252,9452

GCF of Fractions 3252/45,9452/457 is 4/20565

2 3252, 9452
2 1626, 4726
813, 2363

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3252,9452 By Matching Biggest Common Factor Method

Greatest Common Factor of 3252,9452 By Matching Biggest Common Factor Method

Factors of 3252

List of positive integer factors of 3252 that divides 3252 without a remainder.

1,2,3,4,6,12,271,542,813,1084,1626,3252

Factors of 9452

List of positive integer factors of 9452 that divides 9452 without a remainder.

1,2,4,17,34,68,139,278,556,2363,4726,9452

Greatest Common Factor

We found the factors 3252,9452 . The biggest common factor number is the GCF number.
So the greatest common factor 3252,9452 is 4.

Lets's calculate LCM of 45,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 20565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20565

Therefore, the GCF of Fractions 3252/45,9452/457 is 4/20565

Least Common Multiple of 45,457 with GCF Formula

Least Common Multiple of 45,457 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 45,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,457) = 1

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

GCF(45,457) x common factors =1 x 1 = 1

LCM(45,457) = ( 45 × 457 ) / 1

LCM(45,457) = 20565 / 1

LCM(45,457) = 20565


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 3252/45, 9452/457

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 3252/45, 9452/457?

Answer: GCF of Numerators as per given numbers 3252/45, 9452/457 is

GCF of Numerators i.e. for 3252,9452 is 4

LCM of denominators i.e. for 45,457 is 20565.

Thus, GCF of Fractions is 4/20565.Finally, GCF of Fractions for 3252/45, 9452/457 is 4/20565.