Greatest Common Factor of 7004/684, 5336/3805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7004/684, 5336/3805

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 7004/684,5336/3805

Given fractions are 7004/684,5336/3805

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 7004,5336

Greatest Common Factor of Numerators i.e. GCF of 7004,5336 is 4 .

LCM of Denominators means LCM of 684,3805 as per the given fractions.

LCM of 684,3805 is 2602620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7004,5336

GCF of Fractions 7004/684,5336/3805 is 4/2602620

2 7004, 5336
2 3502, 2668
1751, 1334

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7004,5336 By Matching Biggest Common Factor Method

Greatest Common Factor of 7004,5336 By Matching Biggest Common Factor Method

Factors of 7004

List of positive integer factors of 7004 that divides 7004 without a remainder.

1,2,4,17,34,68,103,206,412,1751,3502,7004

Factors of 5336

List of positive integer factors of 5336 that divides 5336 without a remainder.

1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336

Greatest Common Factor

We found the factors 7004,5336 . The biggest common factor number is the GCF number.
So the greatest common factor 7004,5336 is 4.

Lets's calculate LCM of 684,3805

Given numbers has no common factors except 1. So, there LCM is their product i.e 2602620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2602620

Therefore, the GCF of Fractions 7004/684,5336/3805 is 4/2602620

Least Common Multiple of 684,3805 with GCF Formula

Least Common Multiple of 684,3805 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 684,3805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,3805) = 1

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

GCF(684,3805) x common factors =1 x 1 = 1

LCM(684,3805) = ( 684 × 3805 ) / 1

LCM(684,3805) = 2602620 / 1

LCM(684,3805) = 2602620


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 7004/684, 5336/3805

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 7004/684, 5336/3805?

Answer: GCF of Numerators as per given numbers 7004/684, 5336/3805 is

GCF of Numerators i.e. for 7004,5336 is 4

LCM of denominators i.e. for 684,3805 is 2602620.

Thus, GCF of Fractions is 4/2602620.Finally, GCF of Fractions for 7004/684, 5336/3805 is 4/2602620.