Greatest Common Factor of 3808/317, 6900/5178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3808/317, 6900/5178

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 3808/317,6900/5178

Given fractions are 3808/317,6900/5178

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 3808,6900

Greatest Common Factor of Numerators i.e. GCF of 3808,6900 is 4 .

LCM of Denominators means LCM of 317,5178 as per the given fractions.

LCM of 317,5178 is 1641426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3808,6900

GCF of Fractions 3808/317,6900/5178 is 4/1641426

2 3808, 6900
2 1904, 3450
952, 1725

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

Greatest Common Factor of 3808,6900 By Matching Biggest Common Factor Method

Greatest Common Factor of 3808,6900 By Matching Biggest Common Factor Method

Factors of 3808

List of positive integer factors of 3808 that divides 3808 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808

Factors of 6900

List of positive integer factors of 6900 that divides 6900 without a remainder.

1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900

Greatest Common Factor

We found the factors 3808,6900 . The biggest common factor number is the GCF number.
So the greatest common factor 3808,6900 is 4.

Lets's calculate LCM of 317,5178

Given numbers has no common factors except 1. So, there LCM is their product i.e 1641426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1641426

Therefore, the GCF of Fractions 3808/317,6900/5178 is 4/1641426

Least Common Multiple of 317,5178 with GCF Formula

Least Common Multiple of 317,5178 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 317,5178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,5178) = 1

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

GCF(317,5178) x common factors =1 x 1 = 1

LCM(317,5178) = ( 317 × 5178 ) / 1

LCM(317,5178) = 1641426 / 1

LCM(317,5178) = 1641426


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 3808/317, 6900/5178

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 3808/317, 6900/5178?

Answer: GCF of Numerators as per given numbers 3808/317, 6900/5178 is

GCF of Numerators i.e. for 3808,6900 is 4

LCM of denominators i.e. for 317,5178 is 1641426.

Thus, GCF of Fractions is 4/1641426.Finally, GCF of Fractions for 3808/317, 6900/5178 is 4/1641426.