Greatest Common Factor of 2625/809, 7255/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2625/809, 7255/420

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 2625/809,7255/420

Given fractions are 2625/809,7255/420

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 2625,7255

Greatest Common Factor of Numerators i.e. GCF of 2625,7255 is 5 .

LCM of Denominators means LCM of 809,420 as per the given fractions.

LCM of 809,420 is 339780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2625,7255

GCF of Fractions 2625/809,7255/420 is 5/339780

5 2625, 7255
525, 1451

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

Greatest Common Factor of 2625,7255 By Matching Biggest Common Factor Method

Greatest Common Factor of 2625,7255 By Matching Biggest Common Factor Method

Factors of 2625

List of positive integer factors of 2625 that divides 2625 without a remainder.

1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625

Factors of 7255

List of positive integer factors of 7255 that divides 7255 without a remainder.

1,5,1451,7255

Greatest Common Factor

We found the factors 2625,7255 . The biggest common factor number is the GCF number.
So the greatest common factor 2625,7255 is 5.

Lets's calculate LCM of 809,420

Given numbers has no common factors except 1. So, there LCM is their product i.e 339780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/339780

Therefore, the GCF of Fractions 2625/809,7255/420 is 5/339780

Least Common Multiple of 809,420 with GCF Formula

Least Common Multiple of 809,420 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 809,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,420) = 1

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

GCF(809,420) x common factors =1 x 1 = 1

LCM(809,420) = ( 809 × 420 ) / 1

LCM(809,420) = 339780 / 1

LCM(809,420) = 339780


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 2625/809, 7255/420

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 2625/809, 7255/420?

Answer: GCF of Numerators as per given numbers 2625/809, 7255/420 is

GCF of Numerators i.e. for 2625,7255 is 5

LCM of denominators i.e. for 809,420 is 339780.

Thus, GCF of Fractions is 5/339780.Finally, GCF of Fractions for 2625/809, 7255/420 is 5/339780.