Greatest Common Factor of 9870/504, 3351/7473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9870/504, 3351/7473

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 9870/504,3351/7473

Given fractions are 9870/504,3351/7473

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 9870,3351

Greatest Common Factor of Numerators i.e. GCF of 9870,3351 is 3 .

LCM of Denominators means LCM of 504,7473 as per the given fractions.

LCM of 504,7473 is 1255464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9870,3351

GCF of Fractions 9870/504,3351/7473 is 3/1255464

3 9870, 3351
3290, 1117

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

Greatest Common Factor of 9870,3351 By Matching Biggest Common Factor Method

Greatest Common Factor of 9870,3351 By Matching Biggest Common Factor Method

Factors of 9870

List of positive integer factors of 9870 that divides 9870 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870

Factors of 3351

List of positive integer factors of 3351 that divides 3351 without a remainder.

1,3,1117,3351

Greatest Common Factor

We found the factors 9870,3351 . The biggest common factor number is the GCF number.
So the greatest common factor 9870,3351 is 3.

Lets's calculate LCM of 504,7473

3 504, 7473
168, 2491

∴ So the LCM of the given numbers is 3 x 168 x 2491 = 1255464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1255464

Therefore, the GCF of Fractions 9870/504,3351/7473 is 3/1255464

Least Common Multiple of 504,7473 with GCF Formula

Least Common Multiple of 504,7473 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 504,7473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,7473) = 3

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

GCF(504,7473) x common factors =3 x 1 = 3

LCM(504,7473) = ( 504 × 7473 ) / 3

LCM(504,7473) = 3766392 / 3

LCM(504,7473) = 1255464


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 9870/504, 3351/7473

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 9870/504, 3351/7473?

Answer: GCF of Numerators as per given numbers 9870/504, 3351/7473 is

GCF of Numerators i.e. for 9870,3351 is 3

LCM of denominators i.e. for 504,7473 is 1255464.

Thus, GCF of Fractions is 3/1255464.Finally, GCF of Fractions for 9870/504, 3351/7473 is 3/1255464.