Greatest Common Factor of 8877/680, 3409/8994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8877/680, 3409/8994

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 8877/680,3409/8994

Given fractions are 8877/680,3409/8994

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 8877,3409

Greatest Common Factor of Numerators i.e. GCF of 8877,3409 is 1 .

LCM of Denominators means LCM of 680,8994 as per the given fractions.

LCM of 680,8994 is 3057960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8877,3409

GCF of Fractions 8877/680,3409/8994 is 1/3057960

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8877,3409 By Matching Biggest Common Factor Method

Greatest Common Factor of 8877,3409 By Matching Biggest Common Factor Method

Factors of 8877

List of positive integer factors of 8877 that divides 8877 without a remainder.

1,3,11,33,269,807,2959,8877

Factors of 3409

List of positive integer factors of 3409 that divides 3409 without a remainder.

1,7,487,3409

Greatest Common Factor

We found the factors 8877,3409 . The biggest common factor number is the GCF number.
So the greatest common factor 8877,3409 is 1.

Lets's calculate LCM of 680,8994

2 680, 8994
340, 4497

∴ So the LCM of the given numbers is 2 x 340 x 4497 = 3057960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3057960

Therefore, the GCF of Fractions 8877/680,3409/8994 is 1/3057960

Least Common Multiple of 680,8994 with GCF Formula

Least Common Multiple of 680,8994 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 680,8994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,8994) = 2

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

GCF(680,8994) x common factors =2 x 1 = 2

LCM(680,8994) = ( 680 × 8994 ) / 2

LCM(680,8994) = 6115920 / 2

LCM(680,8994) = 3057960


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 8877/680, 3409/8994

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 8877/680, 3409/8994?

Answer: GCF of Numerators as per given numbers 8877/680, 3409/8994 is

GCF of Numerators i.e. for 8877,3409 is 1

LCM of denominators i.e. for 680,8994 is 3057960.

Thus, GCF of Fractions is 1/3057960.Finally, GCF of Fractions for 8877/680, 3409/8994 is 1/3057960.