Greatest Common Factor of 336/4016, 696/8409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 336/4016, 696/8409

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 336/4016,696/8409

Given fractions are 336/4016,696/8409

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 336,696

Greatest Common Factor of Numerators i.e. GCF of 336,696 is 24 .

LCM of Denominators means LCM of 4016,8409 as per the given fractions.

LCM of 4016,8409 is 33770544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 336,696

GCF of Fractions 336/4016,696/8409 is 24/33770544

2 336, 696
2 168, 348
2 84, 174
3 42, 87
14, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 336,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,696 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 336,696 . The biggest common factor number is the GCF number.
So the greatest common factor 336,696 is 24.

Lets's calculate LCM of 4016,8409

Given numbers has no common factors except 1. So, there LCM is their product i.e 33770544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/33770544

Therefore, the GCF of Fractions 336/4016,696/8409 is 24/33770544

Least Common Multiple of 4016,8409 with GCF Formula

Least Common Multiple of 4016,8409 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 4016,8409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4016,8409) = 1

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

GCF(4016,8409) x common factors =1 x 1 = 1

LCM(4016,8409) = ( 4016 × 8409 ) / 1

LCM(4016,8409) = 33770544 / 1

LCM(4016,8409) = 33770544


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 336/4016, 696/8409

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 336/4016, 696/8409?

Answer: GCF of Numerators as per given numbers 336/4016, 696/8409 is

GCF of Numerators i.e. for 336,696 is 24

LCM of denominators i.e. for 4016,8409 is 33770544.

Thus, GCF of Fractions is 24/33770544.Finally, GCF of Fractions for 336/4016, 696/8409 is 24/33770544.