Greatest Common Factor of 9405/21, 3490/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9405/21, 3490/753

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 9405/21,3490/753

Given fractions are 9405/21,3490/753

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 9405,3490

Greatest Common Factor of Numerators i.e. GCF of 9405,3490 is 5 .

LCM of Denominators means LCM of 21,753 as per the given fractions.

LCM of 21,753 is 5271 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9405,3490

GCF of Fractions 9405/21,3490/753 is 5/5271

5 9405, 3490
1881, 698

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9405,3490 By Matching Biggest Common Factor Method

Greatest Common Factor of 9405,3490 By Matching Biggest Common Factor Method

Factors of 9405

List of positive integer factors of 9405 that divides 9405 without a remainder.

1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1,2,5,10,349,698,1745,3490

Greatest Common Factor

We found the factors 9405,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 9405,3490 is 5.

Lets's calculate LCM of 21,753

3 21, 753
7, 251

∴ So the LCM of the given numbers is 3 x 7 x 251 = 5271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5271

Therefore, the GCF of Fractions 9405/21,3490/753 is 5/5271

Least Common Multiple of 21,753 with GCF Formula

Least Common Multiple of 21,753 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 21,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,753) = 3

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

GCF(21,753) x common factors =3 x 1 = 3

LCM(21,753) = ( 21 × 753 ) / 3

LCM(21,753) = 15813 / 3

LCM(21,753) = 5271


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 9405/21, 3490/753

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 9405/21, 3490/753?

Answer: GCF of Numerators as per given numbers 9405/21, 3490/753 is

GCF of Numerators i.e. for 9405,3490 is 5

LCM of denominators i.e. for 21,753 is 5271.

Thus, GCF of Fractions is 5/5271.Finally, GCF of Fractions for 9405/21, 3490/753 is 5/5271.