Greatest Common Factor of 3826/16, 6960/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3826/16, 6960/808

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 3826/16,6960/808

Given fractions are 3826/16,6960/808

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 3826,6960

Greatest Common Factor of Numerators i.e. GCF of 3826,6960 is 2 .

LCM of Denominators means LCM of 16,808 as per the given fractions.

LCM of 16,808 is 1616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3826,6960

GCF of Fractions 3826/16,6960/808 is 2/1616

2 3826, 6960
1913, 3480

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

Greatest Common Factor of 3826,6960 By Matching Biggest Common Factor Method

Greatest Common Factor of 3826,6960 By Matching Biggest Common Factor Method

Factors of 3826

List of positive integer factors of 3826 that divides 3826 without a remainder.

1,2,1913,3826

Factors of 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,29,30,40,48,58,60,80,87,116,120,145,174,232,240,290,348,435,464,580,696,870,1160,1392,1740,2320,3480,6960

Greatest Common Factor

We found the factors 3826,6960 . The biggest common factor number is the GCF number.
So the greatest common factor 3826,6960 is 2.

Lets's calculate LCM of 16,808

2 16, 808
2 8, 404
2 4, 202
2, 101

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 101 = 1616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1616

Therefore, the GCF of Fractions 3826/16,6960/808 is 2/1616

Least Common Multiple of 16,808 with GCF Formula

Least Common Multiple of 16,808 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 16,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,808) = 8

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

GCF(16,808) x common factors =8 x 1 = 8

LCM(16,808) = ( 16 × 808 ) / 8

LCM(16,808) = 12928 / 8

LCM(16,808) = 1616


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 3826/16, 6960/808

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 3826/16, 6960/808?

Answer: GCF of Numerators as per given numbers 3826/16, 6960/808 is

GCF of Numerators i.e. for 3826,6960 is 2

LCM of denominators i.e. for 16,808 is 1616.

Thus, GCF of Fractions is 2/1616.Finally, GCF of Fractions for 3826/16, 6960/808 is 2/1616.