Greatest Common Factor of 6006/577, 8274/8220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6006/577, 8274/8220

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 6006/577,8274/8220

Given fractions are 6006/577,8274/8220

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 6006,8274

Greatest Common Factor of Numerators i.e. GCF of 6006,8274 is 42 .

LCM of Denominators means LCM of 577,8220 as per the given fractions.

LCM of 577,8220 is 4742940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6006,8274

GCF of Fractions 6006/577,8274/8220 is 42/4742940

2 6006, 8274
3 3003, 4137
7 1001, 1379
143, 197

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 6006,8274 By Matching Biggest Common Factor Method

Greatest Common Factor of 6006,8274 By Matching Biggest Common Factor Method

Factors of 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006

Factors of 8274

List of positive integer factors of 8274 that divides 8274 without a remainder.

1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274

Greatest Common Factor

We found the factors 6006,8274 . The biggest common factor number is the GCF number.
So the greatest common factor 6006,8274 is 42.

Lets's calculate LCM of 577,8220

Given numbers has no common factors except 1. So, there LCM is their product i.e 4742940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/4742940

Therefore, the GCF of Fractions 6006/577,8274/8220 is 42/4742940

Least Common Multiple of 577,8220 with GCF Formula

Least Common Multiple of 577,8220 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 577,8220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,8220) = 1

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

GCF(577,8220) x common factors =1 x 1 = 1

LCM(577,8220) = ( 577 × 8220 ) / 1

LCM(577,8220) = 4742940 / 1

LCM(577,8220) = 4742940


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 6006/577, 8274/8220

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 6006/577, 8274/8220?

Answer: GCF of Numerators as per given numbers 6006/577, 8274/8220 is

GCF of Numerators i.e. for 6006,8274 is 42

LCM of denominators i.e. for 577,8220 is 4742940.

Thus, GCF of Fractions is 42/4742940.Finally, GCF of Fractions for 6006/577, 8274/8220 is 42/4742940.