Greatest Common Factor of 991/16, 937/75, 217/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/16, 937/75, 217/199

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 991/16,937/75,217/199

Given fractions are 991/16,937/75,217/199

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 991,937,217

Greatest Common Factor of Numerators i.e. GCF of 991,937,217 is 1 .

LCM of Denominators means LCM of 16,75,199 as per the given fractions.

LCM of 16,75,199 is 238800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,937,217

GCF of Fractions 991/16,937/75,217/199 is 1/238800

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

Greatest Common Factor of 991,937,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,937,217 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 991,937,217 . The biggest common factor number is the GCF number.
So the greatest common factor 991,937,217 is 1.

Lets's calculate LCM of 16,75,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 238800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238800

Therefore, the GCF of Fractions 991/16,937/75,217/199 is 1/238800

Least Common Multiple of 16,75,199 with GCF Formula

Least Common Multiple of 16,75,199 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 16,75,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,75,199) = 1

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

GCF(16,75,199) x common factors =1 x 1 = 1

LCM(16,75,199) = ( 16 × 75 × 199 ) / 1

LCM(16,75,199) = 238800 / 1

LCM(16,75,199) = 238800


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 991/16, 937/75, 217/199

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 991/16, 937/75, 217/199?

Answer: GCF of Numerators as per given numbers 991/16, 937/75, 217/199 is

GCF of Numerators i.e. for 991,937,217 is 1

LCM of denominators i.e. for 16,75,199 is 238800.

Thus, GCF of Fractions is 1/238800.Finally, GCF of Fractions for 991/16, 937/75, 217/199 is 1/238800.