Greatest Common Factor of 1466/25, 4398/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1466/25, 4398/342

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 1466/25,4398/342

Given fractions are 1466/25,4398/342

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 1466,4398

Greatest Common Factor of Numerators i.e. GCF of 1466,4398 is 1466 .

LCM of Denominators means LCM of 25,342 as per the given fractions.

LCM of 25,342 is 8550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1466,4398

GCF of Fractions 1466/25,4398/342 is 1466/8550

2 1466, 4398
733 733, 2199
1, 3

∴ So the GCF of the given numbers is 2 x 733 = 1466

Greatest Common Factor of 1466,4398 By Matching Biggest Common Factor Method

Greatest Common Factor of 1466,4398 By Matching Biggest Common Factor Method

Factors of 1466

List of positive integer factors of 1466 that divides 1466 without a remainder.

1,2,733,1466

Factors of 4398

List of positive integer factors of 4398 that divides 4398 without a remainder.

1,2,3,6,733,1466,2199,4398

Greatest Common Factor

We found the factors 1466,4398 . The biggest common factor number is the GCF number.
So the greatest common factor 1466,4398 is 1466.

Lets's calculate LCM of 25,342

Given numbers has no common factors except 1. So, there LCM is their product i.e 8550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1466/8550

Therefore, the GCF of Fractions 1466/25,4398/342 is 1466/8550

Least Common Multiple of 25,342 with GCF Formula

Least Common Multiple of 25,342 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 25,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,342) = 1

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

GCF(25,342) x common factors =1 x 1 = 1

LCM(25,342) = ( 25 × 342 ) / 1

LCM(25,342) = 8550 / 1

LCM(25,342) = 8550


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 1466/25, 4398/342

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 1466/25, 4398/342?

Answer: GCF of Numerators as per given numbers 1466/25, 4398/342 is

GCF of Numerators i.e. for 1466,4398 is 1466

LCM of denominators i.e. for 25,342 is 8550.

Thus, GCF of Fractions is 1466/8550.Finally, GCF of Fractions for 1466/25, 4398/342 is 1466/8550.