Greatest Common Factor of 2145/515, 5205/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2145/515, 5205/614

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 2145/515,5205/614

Given fractions are 2145/515,5205/614

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 2145,5205

Greatest Common Factor of Numerators i.e. GCF of 2145,5205 is 15 .

LCM of Denominators means LCM of 515,614 as per the given fractions.

LCM of 515,614 is 316210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2145,5205

GCF of Fractions 2145/515,5205/614 is 15/316210

3 2145, 5205
5 715, 1735
143, 347

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 2145,5205 By Matching Biggest Common Factor Method

Greatest Common Factor of 2145,5205 By Matching Biggest Common Factor Method

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

Factors of 5205

List of positive integer factors of 5205 that divides 5205 without a remainder.

1,3,5,15,347,1041,1735,5205

Greatest Common Factor

We found the factors 2145,5205 . The biggest common factor number is the GCF number.
So the greatest common factor 2145,5205 is 15.

Lets's calculate LCM of 515,614

Given numbers has no common factors except 1. So, there LCM is their product i.e 316210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/316210

Therefore, the GCF of Fractions 2145/515,5205/614 is 15/316210

Least Common Multiple of 515,614 with GCF Formula

Least Common Multiple of 515,614 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 515,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,614) = 1

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

GCF(515,614) x common factors =1 x 1 = 1

LCM(515,614) = ( 515 × 614 ) / 1

LCM(515,614) = 316210 / 1

LCM(515,614) = 316210


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 2145/515, 5205/614

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 2145/515, 5205/614?

Answer: GCF of Numerators as per given numbers 2145/515, 5205/614 is

GCF of Numerators i.e. for 2145,5205 is 15

LCM of denominators i.e. for 515,614 is 316210.

Thus, GCF of Fractions is 15/316210.Finally, GCF of Fractions for 2145/515, 5205/614 is 15/316210.