Greatest Common Factor of 1977/98, 1599/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1977/98, 1599/218

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 1977/98,1599/218

Given fractions are 1977/98,1599/218

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 1977,1599

Greatest Common Factor of Numerators i.e. GCF of 1977,1599 is 3 .

LCM of Denominators means LCM of 98,218 as per the given fractions.

LCM of 98,218 is 10682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1977,1599

GCF of Fractions 1977/98,1599/218 is 3/10682

3 1977, 1599
659, 533

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1977,1599 By Matching Biggest Common Factor Method

Greatest Common Factor of 1977,1599 By Matching Biggest Common Factor Method

Factors of 1977

List of positive integer factors of 1977 that divides 1977 without a remainder.

1,3,659,1977

Factors of 1599

List of positive integer factors of 1599 that divides 1599 without a remainder.

1,3,13,39,41,123,533,1599

Greatest Common Factor

We found the factors 1977,1599 . The biggest common factor number is the GCF number.
So the greatest common factor 1977,1599 is 3.

Lets's calculate LCM of 98,218

2 98, 218
49, 109

∴ So the LCM of the given numbers is 2 x 49 x 109 = 10682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10682

Therefore, the GCF of Fractions 1977/98,1599/218 is 3/10682

Least Common Multiple of 98,218 with GCF Formula

Least Common Multiple of 98,218 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 98,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,218) = 2

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

GCF(98,218) x common factors =2 x 1 = 2

LCM(98,218) = ( 98 × 218 ) / 2

LCM(98,218) = 21364 / 2

LCM(98,218) = 10682


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 1977/98, 1599/218

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 1977/98, 1599/218?

Answer: GCF of Numerators as per given numbers 1977/98, 1599/218 is

GCF of Numerators i.e. for 1977,1599 is 3

LCM of denominators i.e. for 98,218 is 10682.

Thus, GCF of Fractions is 3/10682.Finally, GCF of Fractions for 1977/98, 1599/218 is 3/10682.