Greatest Common Factor of 6661/78, 9798/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6661/78, 9798/980

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 6661/78,9798/980

Given fractions are 6661/78,9798/980

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 6661,9798

Greatest Common Factor of Numerators i.e. GCF of 6661,9798 is 1 .

LCM of Denominators means LCM of 78,980 as per the given fractions.

LCM of 78,980 is 38220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6661,9798

GCF of Fractions 6661/78,9798/980 is 1/38220

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

Greatest Common Factor of 6661,9798 By Matching Biggest Common Factor Method

Greatest Common Factor of 6661,9798 By Matching Biggest Common Factor Method

Factors of 6661

List of positive integer factors of 6661 that divides 6661 without a remainder.

1,6661

Factors of 9798

List of positive integer factors of 9798 that divides 9798 without a remainder.

1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798

Greatest Common Factor

We found the factors 6661,9798 . The biggest common factor number is the GCF number.
So the greatest common factor 6661,9798 is 1.

Lets's calculate LCM of 78,980

2 78, 980
39, 490

∴ So the LCM of the given numbers is 2 x 39 x 490 = 38220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38220

Therefore, the GCF of Fractions 6661/78,9798/980 is 1/38220

Least Common Multiple of 78,980 with GCF Formula

Least Common Multiple of 78,980 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 78,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,980) = 2

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

GCF(78,980) x common factors =2 x 1 = 2

LCM(78,980) = ( 78 × 980 ) / 2

LCM(78,980) = 76440 / 2

LCM(78,980) = 38220


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 6661/78, 9798/980

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 6661/78, 9798/980?

Answer: GCF of Numerators as per given numbers 6661/78, 9798/980 is

GCF of Numerators i.e. for 6661,9798 is 1

LCM of denominators i.e. for 78,980 is 38220.

Thus, GCF of Fractions is 1/38220.Finally, GCF of Fractions for 6661/78, 9798/980 is 1/38220.