Greatest Common Factor of 162/95, 3104/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/95, 3104/514

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 162/95,3104/514

Given fractions are 162/95,3104/514

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 162,3104

Greatest Common Factor of Numerators i.e. GCF of 162,3104 is 2 .

LCM of Denominators means LCM of 95,514 as per the given fractions.

LCM of 95,514 is 48830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,3104

GCF of Fractions 162/95,3104/514 is 2/48830

2 162, 3104
81, 1552

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

Greatest Common Factor of 162,3104 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,3104 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 3104

List of positive integer factors of 3104 that divides 3104 without a remainder.

1,2,4,8,16,32,97,194,388,776,1552,3104

Greatest Common Factor

We found the factors 162,3104 . The biggest common factor number is the GCF number.
So the greatest common factor 162,3104 is 2.

Lets's calculate LCM of 95,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 48830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48830

Therefore, the GCF of Fractions 162/95,3104/514 is 2/48830

Least Common Multiple of 95,514 with GCF Formula

Least Common Multiple of 95,514 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 95,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,514) = 1

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

GCF(95,514) x common factors =1 x 1 = 1

LCM(95,514) = ( 95 × 514 ) / 1

LCM(95,514) = 48830 / 1

LCM(95,514) = 48830


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 162/95, 3104/514

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 162/95, 3104/514?

Answer: GCF of Numerators as per given numbers 162/95, 3104/514 is

GCF of Numerators i.e. for 162,3104 is 2

LCM of denominators i.e. for 95,514 is 48830.

Thus, GCF of Fractions is 2/48830.Finally, GCF of Fractions for 162/95, 3104/514 is 2/48830.