Greatest Common Factor of 7251/462, 5486/7600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7251/462, 5486/7600

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 7251/462,5486/7600

Given fractions are 7251/462,5486/7600

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 7251,5486

Greatest Common Factor of Numerators i.e. GCF of 7251,5486 is 1 .

LCM of Denominators means LCM of 462,7600 as per the given fractions.

LCM of 462,7600 is 1755600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7251,5486

GCF of Fractions 7251/462,5486/7600 is 1/1755600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7251,5486 By Matching Biggest Common Factor Method

Greatest Common Factor of 7251,5486 By Matching Biggest Common Factor Method

Factors of 7251

List of positive integer factors of 7251 that divides 7251 without a remainder.

1,3,2417,7251

Factors of 5486

List of positive integer factors of 5486 that divides 5486 without a remainder.

1,2,13,26,211,422,2743,5486

Greatest Common Factor

We found the factors 7251,5486 . The biggest common factor number is the GCF number.
So the greatest common factor 7251,5486 is 1.

Lets's calculate LCM of 462,7600

2 462, 7600
231, 3800

∴ So the LCM of the given numbers is 2 x 231 x 3800 = 1755600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1755600

Therefore, the GCF of Fractions 7251/462,5486/7600 is 1/1755600

Least Common Multiple of 462,7600 with GCF Formula

Least Common Multiple of 462,7600 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 462,7600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,7600) = 2

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

GCF(462,7600) x common factors =2 x 1 = 2

LCM(462,7600) = ( 462 × 7600 ) / 2

LCM(462,7600) = 3511200 / 2

LCM(462,7600) = 1755600


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 7251/462, 5486/7600

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 7251/462, 5486/7600?

Answer: GCF of Numerators as per given numbers 7251/462, 5486/7600 is

GCF of Numerators i.e. for 7251,5486 is 1

LCM of denominators i.e. for 462,7600 is 1755600.

Thus, GCF of Fractions is 1/1755600.Finally, GCF of Fractions for 7251/462, 5486/7600 is 1/1755600.