Greatest Common Factor of 2455/322, 7550/5267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2455/322, 7550/5267

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 2455/322,7550/5267

Given fractions are 2455/322,7550/5267

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 2455,7550

Greatest Common Factor of Numerators i.e. GCF of 2455,7550 is 5 .

LCM of Denominators means LCM of 322,5267 as per the given fractions.

LCM of 322,5267 is 73738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2455,7550

GCF of Fractions 2455/322,7550/5267 is 5/73738

5 2455, 7550
491, 1510

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

Greatest Common Factor of 2455,7550 By Matching Biggest Common Factor Method

Greatest Common Factor of 2455,7550 By Matching Biggest Common Factor Method

Factors of 2455

List of positive integer factors of 2455 that divides 2455 without a remainder.

1,5,491,2455

Factors of 7550

List of positive integer factors of 7550 that divides 7550 without a remainder.

1,2,5,10,25,50,151,302,755,1510,3775,7550

Greatest Common Factor

We found the factors 2455,7550 . The biggest common factor number is the GCF number.
So the greatest common factor 2455,7550 is 5.

Lets's calculate LCM of 322,5267

23 322, 5267
14, 229

∴ So the LCM of the given numbers is 23 x 14 x 229 = 73738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/73738

Therefore, the GCF of Fractions 2455/322,7550/5267 is 5/73738

Least Common Multiple of 322,5267 with GCF Formula

Least Common Multiple of 322,5267 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 322,5267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,5267) = 23

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

GCF(322,5267) x common factors =23 x 1 = 23

LCM(322,5267) = ( 322 × 5267 ) / 23

LCM(322,5267) = 1695974 / 23

LCM(322,5267) = 73738


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 2455/322, 7550/5267

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 2455/322, 7550/5267?

Answer: GCF of Numerators as per given numbers 2455/322, 7550/5267 is

GCF of Numerators i.e. for 2455,7550 is 5

LCM of denominators i.e. for 322,5267 is 73738.

Thus, GCF of Fractions is 5/73738.Finally, GCF of Fractions for 2455/322, 7550/5267 is 5/73738.