Greatest Common Factor of 898/583, 1255/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 898/583, 1255/728

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 898/583,1255/728

Given fractions are 898/583,1255/728

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 898,1255

Greatest Common Factor of Numerators i.e. GCF of 898,1255 is 1 .

LCM of Denominators means LCM of 583,728 as per the given fractions.

LCM of 583,728 is 424424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 898,1255

GCF of Fractions 898/583,1255/728 is 1/424424

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

Greatest Common Factor of 898,1255 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,1255 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 1255

List of positive integer factors of 1255 that divides 1255 without a remainder.

1,5,251,1255

Greatest Common Factor

We found the factors 898,1255 . The biggest common factor number is the GCF number.
So the greatest common factor 898,1255 is 1.

Lets's calculate LCM of 583,728

Given numbers has no common factors except 1. So, there LCM is their product i.e 424424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424424

Therefore, the GCF of Fractions 898/583,1255/728 is 1/424424

Least Common Multiple of 583,728 with GCF Formula

Least Common Multiple of 583,728 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 583,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,728) = 1

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

GCF(583,728) x common factors =1 x 1 = 1

LCM(583,728) = ( 583 × 728 ) / 1

LCM(583,728) = 424424 / 1

LCM(583,728) = 424424


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 898/583, 1255/728

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 898/583, 1255/728?

Answer: GCF of Numerators as per given numbers 898/583, 1255/728 is

GCF of Numerators i.e. for 898,1255 is 1

LCM of denominators i.e. for 583,728 is 424424.

Thus, GCF of Fractions is 1/424424.Finally, GCF of Fractions for 898/583, 1255/728 is 1/424424.