Greatest Common Factor of 100/67, 3161/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/67, 3161/200

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 100/67,3161/200

Given fractions are 100/67,3161/200

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 100,3161

Greatest Common Factor of Numerators i.e. GCF of 100,3161 is 1 .

LCM of Denominators means LCM of 67,200 as per the given fractions.

LCM of 67,200 is 13400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,3161

GCF of Fractions 100/67,3161/200 is 1/13400

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

Greatest Common Factor of 100,3161 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,3161 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 3161

List of positive integer factors of 3161 that divides 3161 without a remainder.

1,29,109,3161

Greatest Common Factor

We found the factors 100,3161 . The biggest common factor number is the GCF number.
So the greatest common factor 100,3161 is 1.

Lets's calculate LCM of 67,200

Given numbers has no common factors except 1. So, there LCM is their product i.e 13400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13400

Therefore, the GCF of Fractions 100/67,3161/200 is 1/13400

Least Common Multiple of 67,200 with GCF Formula

Least Common Multiple of 67,200 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 67,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,200) = 1

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

GCF(67,200) x common factors =1 x 1 = 1

LCM(67,200) = ( 67 × 200 ) / 1

LCM(67,200) = 13400 / 1

LCM(67,200) = 13400


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 100/67, 3161/200

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 100/67, 3161/200?

Answer: GCF of Numerators as per given numbers 100/67, 3161/200 is

GCF of Numerators i.e. for 100,3161 is 1

LCM of denominators i.e. for 67,200 is 13400.

Thus, GCF of Fractions is 1/13400.Finally, GCF of Fractions for 100/67, 3161/200 is 1/13400.