Greatest Common Factor of 363/42, 966/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 363/42, 966/470

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 363/42,966/470

Given fractions are 363/42,966/470

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 363,966

Greatest Common Factor of Numerators i.e. GCF of 363,966 is 3 .

LCM of Denominators means LCM of 42,470 as per the given fractions.

LCM of 42,470 is 9870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 363,966

GCF of Fractions 363/42,966/470 is 3/9870

3 363, 966
121, 322

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

Greatest Common Factor of 363,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,966 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 363,966 . The biggest common factor number is the GCF number.
So the greatest common factor 363,966 is 3.

Lets's calculate LCM of 42,470

2 42, 470
21, 235

∴ So the LCM of the given numbers is 2 x 21 x 235 = 9870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9870

Therefore, the GCF of Fractions 363/42,966/470 is 3/9870

Least Common Multiple of 42,470 with GCF Formula

Least Common Multiple of 42,470 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 42,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,470) = 2

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

GCF(42,470) x common factors =2 x 1 = 2

LCM(42,470) = ( 42 × 470 ) / 2

LCM(42,470) = 19740 / 2

LCM(42,470) = 9870


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 363/42, 966/470

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 363/42, 966/470?

Answer: GCF of Numerators as per given numbers 363/42, 966/470 is

GCF of Numerators i.e. for 363,966 is 3

LCM of denominators i.e. for 42,470 is 9870.

Thus, GCF of Fractions is 3/9870.Finally, GCF of Fractions for 363/42, 966/470 is 3/9870.