Greatest Common Factor of 1987/11, 5917/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1987/11, 5917/122

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 1987/11,5917/122

Given fractions are 1987/11,5917/122

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 1987,5917

Greatest Common Factor of Numerators i.e. GCF of 1987,5917 is 1 .

LCM of Denominators means LCM of 11,122 as per the given fractions.

LCM of 11,122 is 1342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1987,5917

GCF of Fractions 1987/11,5917/122 is 1/1342

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

Greatest Common Factor of 1987,5917 By Matching Biggest Common Factor Method

Greatest Common Factor of 1987,5917 By Matching Biggest Common Factor Method

Factors of 1987

List of positive integer factors of 1987 that divides 1987 without a remainder.

1,1987

Factors of 5917

List of positive integer factors of 5917 that divides 5917 without a remainder.

1,61,97,5917

Greatest Common Factor

We found the factors 1987,5917 . The biggest common factor number is the GCF number.
So the greatest common factor 1987,5917 is 1.

Lets's calculate LCM of 11,122

Given numbers has no common factors except 1. So, there LCM is their product i.e 1342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1342

Therefore, the GCF of Fractions 1987/11,5917/122 is 1/1342

Least Common Multiple of 11,122 with GCF Formula

Least Common Multiple of 11,122 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 11,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,122) = 1

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

GCF(11,122) x common factors =1 x 1 = 1

LCM(11,122) = ( 11 × 122 ) / 1

LCM(11,122) = 1342 / 1

LCM(11,122) = 1342


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 1987/11, 5917/122

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 1987/11, 5917/122?

Answer: GCF of Numerators as per given numbers 1987/11, 5917/122 is

GCF of Numerators i.e. for 1987,5917 is 1

LCM of denominators i.e. for 11,122 is 1342.

Thus, GCF of Fractions is 1/1342.Finally, GCF of Fractions for 1987/11, 5917/122 is 1/1342.