Greatest Common Factor of 6440/77, 4004/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6440/77, 4004/533

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 6440/77,4004/533

Given fractions are 6440/77,4004/533

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 6440,4004

Greatest Common Factor of Numerators i.e. GCF of 6440,4004 is 28 .

LCM of Denominators means LCM of 77,533 as per the given fractions.

LCM of 77,533 is 41041 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6440,4004

GCF of Fractions 6440/77,4004/533 is 28/41041

2 6440, 4004
2 3220, 2002
7 1610, 1001
230, 143

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 6440,4004 By Matching Biggest Common Factor Method

Greatest Common Factor of 6440,4004 By Matching Biggest Common Factor Method

Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440

Factors of 4004

List of positive integer factors of 4004 that divides 4004 without a remainder.

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Greatest Common Factor

We found the factors 6440,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 6440,4004 is 28.

Lets's calculate LCM of 77,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 41041

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/41041

Therefore, the GCF of Fractions 6440/77,4004/533 is 28/41041

Least Common Multiple of 77,533 with GCF Formula

Least Common Multiple of 77,533 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 77,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,533) = 1

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

GCF(77,533) x common factors =1 x 1 = 1

LCM(77,533) = ( 77 × 533 ) / 1

LCM(77,533) = 41041 / 1

LCM(77,533) = 41041


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 6440/77, 4004/533

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 6440/77, 4004/533?

Answer: GCF of Numerators as per given numbers 6440/77, 4004/533 is

GCF of Numerators i.e. for 6440,4004 is 28

LCM of denominators i.e. for 77,533 is 41041.

Thus, GCF of Fractions is 28/41041.Finally, GCF of Fractions for 6440/77, 4004/533 is 28/41041.