Greatest Common Factor of 6551/984, 4600/1980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6551/984, 4600/1980

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 6551/984,4600/1980

Given fractions are 6551/984,4600/1980

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 6551,4600

Greatest Common Factor of Numerators i.e. GCF of 6551,4600 is 1 .

LCM of Denominators means LCM of 984,1980 as per the given fractions.

LCM of 984,1980 is 162360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6551,4600

GCF of Fractions 6551/984,4600/1980 is 1/162360

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

Greatest Common Factor of 6551,4600 By Matching Biggest Common Factor Method

Greatest Common Factor of 6551,4600 By Matching Biggest Common Factor Method

Factors of 6551

List of positive integer factors of 6551 that divides 6551 without a remainder.

1,6551

Factors of 4600

List of positive integer factors of 4600 that divides 4600 without a remainder.

1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600

Greatest Common Factor

We found the factors 6551,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 6551,4600 is 1.

Lets's calculate LCM of 984,1980

2 984, 1980
2 492, 990
3 246, 495
82, 165

∴ So the LCM of the given numbers is 2 x 2 x 3 x 82 x 165 = 162360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162360

Therefore, the GCF of Fractions 6551/984,4600/1980 is 1/162360

Least Common Multiple of 984,1980 with GCF Formula

Least Common Multiple of 984,1980 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 984,1980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,1980) = 12

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

GCF(984,1980) x common factors =12 x 1 = 12

LCM(984,1980) = ( 984 × 1980 ) / 12

LCM(984,1980) = 1948320 / 12

LCM(984,1980) = 162360


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 6551/984, 4600/1980

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 6551/984, 4600/1980?

Answer: GCF of Numerators as per given numbers 6551/984, 4600/1980 is

GCF of Numerators i.e. for 6551,4600 is 1

LCM of denominators i.e. for 984,1980 is 162360.

Thus, GCF of Fractions is 1/162360.Finally, GCF of Fractions for 6551/984, 4600/1980 is 1/162360.