Greatest Common Factor of 725/757, 7218/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/757, 7218/484

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 725/757,7218/484

Given fractions are 725/757,7218/484

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 725,7218

Greatest Common Factor of Numerators i.e. GCF of 725,7218 is 1 .

LCM of Denominators means LCM of 757,484 as per the given fractions.

LCM of 757,484 is 366388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,7218

GCF of Fractions 725/757,7218/484 is 1/366388

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

Greatest Common Factor of 725,7218 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,7218 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 7218

List of positive integer factors of 7218 that divides 7218 without a remainder.

1,2,3,6,9,18,401,802,1203,2406,3609,7218

Greatest Common Factor

We found the factors 725,7218 . The biggest common factor number is the GCF number.
So the greatest common factor 725,7218 is 1.

Lets's calculate LCM of 757,484

Given numbers has no common factors except 1. So, there LCM is their product i.e 366388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366388

Therefore, the GCF of Fractions 725/757,7218/484 is 1/366388

Least Common Multiple of 757,484 with GCF Formula

Least Common Multiple of 757,484 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 757,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,484) = 1

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

GCF(757,484) x common factors =1 x 1 = 1

LCM(757,484) = ( 757 × 484 ) / 1

LCM(757,484) = 366388 / 1

LCM(757,484) = 366388


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 725/757, 7218/484

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 725/757, 7218/484?

Answer: GCF of Numerators as per given numbers 725/757, 7218/484 is

GCF of Numerators i.e. for 725,7218 is 1

LCM of denominators i.e. for 757,484 is 366388.

Thus, GCF of Fractions is 1/366388.Finally, GCF of Fractions for 725/757, 7218/484 is 1/366388.