Greatest Common Factor of 162/39, 277/4003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 162/39, 277/4003

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 162/39,277/4003

Given fractions are 162/39,277/4003

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 162,277

Greatest Common Factor of Numerators i.e. GCF of 162,277 is 1 .

LCM of Denominators means LCM of 39,4003 as per the given fractions.

LCM of 39,4003 is 156117 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,277

GCF of Fractions 162/39,277/4003 is 1/156117

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

Greatest Common Factor of 162,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,277 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 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 162,277 . The biggest common factor number is the GCF number.
So the greatest common factor 162,277 is 1.


Lets's calculate LCM of 39,4003

Given numbers has no common factors except 1. So, there LCM is their product i.e 156117

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156117

Therefore, the GCF of Fractions 162/39,277/4003 is 1/156117

Least Common Multiple of 39,4003 with GCF Formula

Least Common Multiple of 39,4003 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 39,4003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,4003) = 1

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

GCF(39,4003) x common factors =1 x 1 = 1

LCM(39,4003) = ( 39 × 4003 ) / 1

LCM(39,4003) = 156117 / 1

LCM(39,4003) = 156117


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 162/39, 277/4003

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 162/39, 277/4003?

Answer: GCF of Numerators as per given numbers 162/39, 277/4003 is

GCF of Numerators i.e. for 162,277 is 1

LCM of denominators i.e. for 39,4003 is 156117.

Thus, GCF of Fractions is 1/156117.Finally, GCF of Fractions for 162/39, 277/4003 is 1/156117.