Greatest Common Factor of 2401/162, 4716/1196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2401/162, 4716/1196

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 2401/162,4716/1196

Given fractions are 2401/162,4716/1196

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 2401,4716

Greatest Common Factor of Numerators i.e. GCF of 2401,4716 is 1 .

LCM of Denominators means LCM of 162,1196 as per the given fractions.

LCM of 162,1196 is 96876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2401,4716

GCF of Fractions 2401/162,4716/1196 is 1/96876

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

Greatest Common Factor of 2401,4716 By Matching Biggest Common Factor Method

Greatest Common Factor of 2401,4716 By Matching Biggest Common Factor Method

Factors of 2401

List of positive integer factors of 2401 that divides 2401 without a remainder.

1,7,49,343,2401

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716

Greatest Common Factor

We found the factors 2401,4716 . The biggest common factor number is the GCF number.
So the greatest common factor 2401,4716 is 1.

Lets's calculate LCM of 162,1196

2 162, 1196
81, 598

∴ So the LCM of the given numbers is 2 x 81 x 598 = 96876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96876

Therefore, the GCF of Fractions 2401/162,4716/1196 is 1/96876

Least Common Multiple of 162,1196 with GCF Formula

Least Common Multiple of 162,1196 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 162,1196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,1196) = 2

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

GCF(162,1196) x common factors =2 x 1 = 2

LCM(162,1196) = ( 162 × 1196 ) / 2

LCM(162,1196) = 193752 / 2

LCM(162,1196) = 96876


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 2401/162, 4716/1196

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 2401/162, 4716/1196?

Answer: GCF of Numerators as per given numbers 2401/162, 4716/1196 is

GCF of Numerators i.e. for 2401,4716 is 1

LCM of denominators i.e. for 162,1196 is 96876.

Thus, GCF of Fractions is 1/96876.Finally, GCF of Fractions for 2401/162, 4716/1196 is 1/96876.