Greatest Common Factor of 362/54, 4562/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 362/54, 4562/795

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 362/54,4562/795

Given fractions are 362/54,4562/795

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 362,4562

Greatest Common Factor of Numerators i.e. GCF of 362,4562 is 2 .

LCM of Denominators means LCM of 54,795 as per the given fractions.

LCM of 54,795 is 14310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 362,4562

GCF of Fractions 362/54,4562/795 is 2/14310

2 362, 4562
181, 2281

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 362,4562 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,4562 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 4562

List of positive integer factors of 4562 that divides 4562 without a remainder.

1,2,2281,4562

Greatest Common Factor

We found the factors 362,4562 . The biggest common factor number is the GCF number.
So the greatest common factor 362,4562 is 2.

Lets's calculate LCM of 54,795

3 54, 795
18, 265

∴ So the LCM of the given numbers is 3 x 18 x 265 = 14310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14310

Therefore, the GCF of Fractions 362/54,4562/795 is 2/14310

Least Common Multiple of 54,795 with GCF Formula

Least Common Multiple of 54,795 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 54,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,795) = 3

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

GCF(54,795) x common factors =3 x 1 = 3

LCM(54,795) = ( 54 × 795 ) / 3

LCM(54,795) = 42930 / 3

LCM(54,795) = 14310


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 362/54, 4562/795

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 362/54, 4562/795?

Answer: GCF of Numerators as per given numbers 362/54, 4562/795 is

GCF of Numerators i.e. for 362,4562 is 2

LCM of denominators i.e. for 54,795 is 14310.

Thus, GCF of Fractions is 2/14310.Finally, GCF of Fractions for 362/54, 4562/795 is 2/14310.