Greatest Common Factor of 1991/127, 1683/1982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1991/127, 1683/1982

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 1991/127,1683/1982

Given fractions are 1991/127,1683/1982

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 1991,1683

Greatest Common Factor of Numerators i.e. GCF of 1991,1683 is 11 .

LCM of Denominators means LCM of 127,1982 as per the given fractions.

LCM of 127,1982 is 251714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1991,1683

GCF of Fractions 1991/127,1683/1982 is 11/251714

11 1991, 1683
181, 153

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1991,1683 By Matching Biggest Common Factor Method

Greatest Common Factor of 1991,1683 By Matching Biggest Common Factor Method

Factors of 1991

List of positive integer factors of 1991 that divides 1991 without a remainder.

1,11,181,1991

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1,3,9,11,17,33,51,99,153,187,561,1683

Greatest Common Factor

We found the factors 1991,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 1991,1683 is 11.

Lets's calculate LCM of 127,1982

Given numbers has no common factors except 1. So, there LCM is their product i.e 251714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/251714

Therefore, the GCF of Fractions 1991/127,1683/1982 is 11/251714

Least Common Multiple of 127,1982 with GCF Formula

Least Common Multiple of 127,1982 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 127,1982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,1982) = 1

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

GCF(127,1982) x common factors =1 x 1 = 1

LCM(127,1982) = ( 127 × 1982 ) / 1

LCM(127,1982) = 251714 / 1

LCM(127,1982) = 251714


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 1991/127, 1683/1982

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 1991/127, 1683/1982?

Answer: GCF of Numerators as per given numbers 1991/127, 1683/1982 is

GCF of Numerators i.e. for 1991,1683 is 11

LCM of denominators i.e. for 127,1982 is 251714.

Thus, GCF of Fractions is 11/251714.Finally, GCF of Fractions for 1991/127, 1683/1982 is 11/251714.