Greatest Common Factor of 3326/671, 9680/7475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3326/671, 9680/7475

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 3326/671,9680/7475

Given fractions are 3326/671,9680/7475

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 3326,9680

Greatest Common Factor of Numerators i.e. GCF of 3326,9680 is 2 .

LCM of Denominators means LCM of 671,7475 as per the given fractions.

LCM of 671,7475 is 5015725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3326,9680

GCF of Fractions 3326/671,9680/7475 is 2/5015725

2 3326, 9680
1663, 4840

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

Greatest Common Factor of 3326,9680 By Matching Biggest Common Factor Method

Greatest Common Factor of 3326,9680 By Matching Biggest Common Factor Method

Factors of 3326

List of positive integer factors of 3326 that divides 3326 without a remainder.

1,2,1663,3326

Factors of 9680

List of positive integer factors of 9680 that divides 9680 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680

Greatest Common Factor

We found the factors 3326,9680 . The biggest common factor number is the GCF number.
So the greatest common factor 3326,9680 is 2.

Lets's calculate LCM of 671,7475

Given numbers has no common factors except 1. So, there LCM is their product i.e 5015725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5015725

Therefore, the GCF of Fractions 3326/671,9680/7475 is 2/5015725

Least Common Multiple of 671,7475 with GCF Formula

Least Common Multiple of 671,7475 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 671,7475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,7475) = 1

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

GCF(671,7475) x common factors =1 x 1 = 1

LCM(671,7475) = ( 671 × 7475 ) / 1

LCM(671,7475) = 5015725 / 1

LCM(671,7475) = 5015725


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 3326/671, 9680/7475

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 3326/671, 9680/7475?

Answer: GCF of Numerators as per given numbers 3326/671, 9680/7475 is

GCF of Numerators i.e. for 3326,9680 is 2

LCM of denominators i.e. for 671,7475 is 5015725.

Thus, GCF of Fractions is 2/5015725.Finally, GCF of Fractions for 3326/671, 9680/7475 is 2/5015725.