Greatest Common Factor of 1998/31, 4146/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1998/31, 4146/688

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 1998/31,4146/688

Given fractions are 1998/31,4146/688

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 1998,4146

Greatest Common Factor of Numerators i.e. GCF of 1998,4146 is 6 .

LCM of Denominators means LCM of 31,688 as per the given fractions.

LCM of 31,688 is 21328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1998,4146

GCF of Fractions 1998/31,4146/688 is 6/21328

2 1998, 4146
3 999, 2073
333, 691

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1998,4146 By Matching Biggest Common Factor Method

Greatest Common Factor of 1998,4146 By Matching Biggest Common Factor Method

Factors of 1998

List of positive integer factors of 1998 that divides 1998 without a remainder.

1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998

Factors of 4146

List of positive integer factors of 4146 that divides 4146 without a remainder.

1,2,3,6,691,1382,2073,4146

Greatest Common Factor

We found the factors 1998,4146 . The biggest common factor number is the GCF number.
So the greatest common factor 1998,4146 is 6.

Lets's calculate LCM of 31,688

Given numbers has no common factors except 1. So, there LCM is their product i.e 21328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/21328

Therefore, the GCF of Fractions 1998/31,4146/688 is 6/21328

Least Common Multiple of 31,688 with GCF Formula

Least Common Multiple of 31,688 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 31,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,688) = 1

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

GCF(31,688) x common factors =1 x 1 = 1

LCM(31,688) = ( 31 × 688 ) / 1

LCM(31,688) = 21328 / 1

LCM(31,688) = 21328


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 1998/31, 4146/688

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 1998/31, 4146/688?

Answer: GCF of Numerators as per given numbers 1998/31, 4146/688 is

GCF of Numerators i.e. for 1998,4146 is 6

LCM of denominators i.e. for 31,688 is 21328.

Thus, GCF of Fractions is 6/21328.Finally, GCF of Fractions for 1998/31, 4146/688 is 6/21328.