Greatest Common Factor of 3972/101, 1663/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3972/101, 1663/164

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 3972/101,1663/164

Given fractions are 3972/101,1663/164

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 3972,1663

Greatest Common Factor of Numerators i.e. GCF of 3972,1663 is 1 .

LCM of Denominators means LCM of 101,164 as per the given fractions.

LCM of 101,164 is 16564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3972,1663

GCF of Fractions 3972/101,1663/164 is 1/16564

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

Greatest Common Factor of 3972,1663 By Matching Biggest Common Factor Method

Greatest Common Factor of 3972,1663 By Matching Biggest Common Factor Method

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1,2,3,4,6,12,331,662,993,1324,1986,3972

Factors of 1663

List of positive integer factors of 1663 that divides 1663 without a remainder.

1,1663

Greatest Common Factor

We found the factors 3972,1663 . The biggest common factor number is the GCF number.
So the greatest common factor 3972,1663 is 1.

Lets's calculate LCM of 101,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 16564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16564

Therefore, the GCF of Fractions 3972/101,1663/164 is 1/16564

Least Common Multiple of 101,164 with GCF Formula

Least Common Multiple of 101,164 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 101,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,164) = 1

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

GCF(101,164) x common factors =1 x 1 = 1

LCM(101,164) = ( 101 × 164 ) / 1

LCM(101,164) = 16564 / 1

LCM(101,164) = 16564


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 3972/101, 1663/164

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 3972/101, 1663/164?

Answer: GCF of Numerators as per given numbers 3972/101, 1663/164 is

GCF of Numerators i.e. for 3972,1663 is 1

LCM of denominators i.e. for 101,164 is 16564.

Thus, GCF of Fractions is 1/16564.Finally, GCF of Fractions for 3972/101, 1663/164 is 1/16564.