Greatest Common Factor of 3357/828, 8907/6341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3357/828, 8907/6341

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 3357/828,8907/6341

Given fractions are 3357/828,8907/6341

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 3357,8907

Greatest Common Factor of Numerators i.e. GCF of 3357,8907 is 3 .

LCM of Denominators means LCM of 828,6341 as per the given fractions.

LCM of 828,6341 is 5250348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3357,8907

GCF of Fractions 3357/828,8907/6341 is 3/5250348

3 3357, 8907
1119, 2969

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3357,8907 By Matching Biggest Common Factor Method

Greatest Common Factor of 3357,8907 By Matching Biggest Common Factor Method

Factors of 3357

List of positive integer factors of 3357 that divides 3357 without a remainder.

1,3,9,373,1119,3357

Factors of 8907

List of positive integer factors of 8907 that divides 8907 without a remainder.

1,3,2969,8907

Greatest Common Factor

We found the factors 3357,8907 . The biggest common factor number is the GCF number.
So the greatest common factor 3357,8907 is 3.

Lets's calculate LCM of 828,6341

Given numbers has no common factors except 1. So, there LCM is their product i.e 5250348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5250348

Therefore, the GCF of Fractions 3357/828,8907/6341 is 3/5250348

Least Common Multiple of 828,6341 with GCF Formula

Least Common Multiple of 828,6341 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 828,6341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,6341) = 1

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

GCF(828,6341) x common factors =1 x 1 = 1

LCM(828,6341) = ( 828 × 6341 ) / 1

LCM(828,6341) = 5250348 / 1

LCM(828,6341) = 5250348


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 3357/828, 8907/6341

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 3357/828, 8907/6341?

Answer: GCF of Numerators as per given numbers 3357/828, 8907/6341 is

GCF of Numerators i.e. for 3357,8907 is 3

LCM of denominators i.e. for 828,6341 is 5250348.

Thus, GCF of Fractions is 3/5250348.Finally, GCF of Fractions for 3357/828, 8907/6341 is 3/5250348.