Greatest Common Factor of 3006/693, 3104/6577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3006/693, 3104/6577

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 3006/693,3104/6577

Given fractions are 3006/693,3104/6577

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 3006,3104

Greatest Common Factor of Numerators i.e. GCF of 3006,3104 is 2 .

LCM of Denominators means LCM of 693,6577 as per the given fractions.

LCM of 693,6577 is 4557861 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3006,3104

GCF of Fractions 3006/693,3104/6577 is 2/4557861

2 3006, 3104
1503, 1552

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

Greatest Common Factor of 3006,3104 By Matching Biggest Common Factor Method

Greatest Common Factor of 3006,3104 By Matching Biggest Common Factor Method

Factors of 3006

List of positive integer factors of 3006 that divides 3006 without a remainder.

1,2,3,6,9,18,167,334,501,1002,1503,3006

Factors of 3104

List of positive integer factors of 3104 that divides 3104 without a remainder.

1,2,4,8,16,32,97,194,388,776,1552,3104

Greatest Common Factor

We found the factors 3006,3104 . The biggest common factor number is the GCF number.
So the greatest common factor 3006,3104 is 2.

Lets's calculate LCM of 693,6577

Given numbers has no common factors except 1. So, there LCM is their product i.e 4557861

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4557861

Therefore, the GCF of Fractions 3006/693,3104/6577 is 2/4557861

Least Common Multiple of 693,6577 with GCF Formula

Least Common Multiple of 693,6577 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 693,6577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,6577) = 1

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

GCF(693,6577) x common factors =1 x 1 = 1

LCM(693,6577) = ( 693 × 6577 ) / 1

LCM(693,6577) = 4557861 / 1

LCM(693,6577) = 4557861


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 3006/693, 3104/6577

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 3006/693, 3104/6577?

Answer: GCF of Numerators as per given numbers 3006/693, 3104/6577 is

GCF of Numerators i.e. for 3006,3104 is 2

LCM of denominators i.e. for 693,6577 is 4557861.

Thus, GCF of Fractions is 2/4557861.Finally, GCF of Fractions for 3006/693, 3104/6577 is 2/4557861.