Greatest Common Factor of 1982/828, 8240/2661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1982/828, 8240/2661

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 1982/828,8240/2661

Given fractions are 1982/828,8240/2661

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 1982,8240

Greatest Common Factor of Numerators i.e. GCF of 1982,8240 is 2 .

LCM of Denominators means LCM of 828,2661 as per the given fractions.

LCM of 828,2661 is 734436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1982,8240

GCF of Fractions 1982/828,8240/2661 is 2/734436

2 1982, 8240
991, 4120

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1982,8240 By Matching Biggest Common Factor Method

Greatest Common Factor of 1982,8240 By Matching Biggest Common Factor Method

Factors of 1982

List of positive integer factors of 1982 that divides 1982 without a remainder.

1,2,991,1982

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Greatest Common Factor

We found the factors 1982,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 1982,8240 is 2.

Lets's calculate LCM of 828,2661

3 828, 2661
276, 887

∴ So the LCM of the given numbers is 3 x 276 x 887 = 734436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/734436

Therefore, the GCF of Fractions 1982/828,8240/2661 is 2/734436

Least Common Multiple of 828,2661 with GCF Formula

Least Common Multiple of 828,2661 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 828,2661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,2661) = 3

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

GCF(828,2661) x common factors =3 x 1 = 3

LCM(828,2661) = ( 828 × 2661 ) / 3

LCM(828,2661) = 2203308 / 3

LCM(828,2661) = 734436


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 1982/828, 8240/2661

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 1982/828, 8240/2661?

Answer: GCF of Numerators as per given numbers 1982/828, 8240/2661 is

GCF of Numerators i.e. for 1982,8240 is 2

LCM of denominators i.e. for 828,2661 is 734436.

Thus, GCF of Fractions is 2/734436.Finally, GCF of Fractions for 1982/828, 8240/2661 is 2/734436.