Greatest Common Factor of 420/20, 265/6415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/20, 265/6415

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 420/20,265/6415

Given fractions are 420/20,265/6415

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 420,265

Greatest Common Factor of Numerators i.e. GCF of 420,265 is 5 .

LCM of Denominators means LCM of 20,6415 as per the given fractions.

LCM of 20,6415 is 25660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,265

GCF of Fractions 420/20,265/6415 is 5/25660

5 420, 265
84, 53

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 420,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,265 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 420,265 . The biggest common factor number is the GCF number.
So the greatest common factor 420,265 is 5.

Lets's calculate LCM of 20,6415

5 20, 6415
4, 1283

∴ So the LCM of the given numbers is 5 x 4 x 1283 = 25660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/25660

Therefore, the GCF of Fractions 420/20,265/6415 is 5/25660

Least Common Multiple of 20,6415 with GCF Formula

Least Common Multiple of 20,6415 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 20,6415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,6415) = 5

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

GCF(20,6415) x common factors =5 x 1 = 5

LCM(20,6415) = ( 20 × 6415 ) / 5

LCM(20,6415) = 128300 / 5

LCM(20,6415) = 25660


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 420/20, 265/6415

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 420/20, 265/6415?

Answer: GCF of Numerators as per given numbers 420/20, 265/6415 is

GCF of Numerators i.e. for 420,265 is 5

LCM of denominators i.e. for 20,6415 is 25660.

Thus, GCF of Fractions is 5/25660.Finally, GCF of Fractions for 420/20, 265/6415 is 5/25660.