Greatest Common Factor of 3465/564, 2145/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3465/564, 2145/600

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 3465/564,2145/600

Given fractions are 3465/564,2145/600

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 3465,2145

Greatest Common Factor of Numerators i.e. GCF of 3465,2145 is 165 .

LCM of Denominators means LCM of 564,600 as per the given fractions.

LCM of 564,600 is 28200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3465,2145

GCF of Fractions 3465/564,2145/600 is 165/28200

3 3465, 2145
5 1155, 715
11 231, 143
21, 13

∴ So the GCF of the given numbers is 3 x 5 x 11 = 165

Greatest Common Factor of 3465,2145 By Matching Biggest Common Factor Method

Greatest Common Factor of 3465,2145 By Matching Biggest Common Factor Method

Factors of 3465

List of positive integer factors of 3465 that divides 3465 without a remainder.

1,3,5,7,9,11,15,21,33,35,45,55,63,77,99,105,165,231,315,385,495,693,1155,3465

Factors of 2145

List of positive integer factors of 2145 that divides 2145 without a remainder.

1,3,5,11,13,15,33,39,55,65,143,165,195,429,715,2145

Greatest Common Factor

We found the factors 3465,2145 . The biggest common factor number is the GCF number.
So the greatest common factor 3465,2145 is 165.

Lets's calculate LCM of 564,600

2 564, 600
2 282, 300
3 141, 150
47, 50

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 50 = 28200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 165/28200

Therefore, the GCF of Fractions 3465/564,2145/600 is 165/28200

Least Common Multiple of 564,600 with GCF Formula

Least Common Multiple of 564,600 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 564,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,600) = 12

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

GCF(564,600) x common factors =12 x 1 = 12

LCM(564,600) = ( 564 × 600 ) / 12

LCM(564,600) = 338400 / 12

LCM(564,600) = 28200


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 3465/564, 2145/600

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 3465/564, 2145/600?

Answer: GCF of Numerators as per given numbers 3465/564, 2145/600 is

GCF of Numerators i.e. for 3465,2145 is 165

LCM of denominators i.e. for 564,600 is 28200.

Thus, GCF of Fractions is 165/28200.Finally, GCF of Fractions for 3465/564, 2145/600 is 165/28200.