Greatest Common Factor of 385/36, 9482/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/36, 9482/602

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 385/36,9482/602

Given fractions are 385/36,9482/602

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 385,9482

Greatest Common Factor of Numerators i.e. GCF of 385,9482 is 11 .

LCM of Denominators means LCM of 36,602 as per the given fractions.

LCM of 36,602 is 10836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,9482

GCF of Fractions 385/36,9482/602 is 11/10836

11 385, 9482
35, 862

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 385,9482 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,9482 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 9482

List of positive integer factors of 9482 that divides 9482 without a remainder.

1,2,11,22,431,862,4741,9482

Greatest Common Factor

We found the factors 385,9482 . The biggest common factor number is the GCF number.
So the greatest common factor 385,9482 is 11.

Lets's calculate LCM of 36,602

2 36, 602
18, 301

∴ So the LCM of the given numbers is 2 x 18 x 301 = 10836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/10836

Therefore, the GCF of Fractions 385/36,9482/602 is 11/10836

Least Common Multiple of 36,602 with GCF Formula

Least Common Multiple of 36,602 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 36,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,602) = 2

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

GCF(36,602) x common factors =2 x 1 = 2

LCM(36,602) = ( 36 × 602 ) / 2

LCM(36,602) = 21672 / 2

LCM(36,602) = 10836


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 385/36, 9482/602

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 385/36, 9482/602?

Answer: GCF of Numerators as per given numbers 385/36, 9482/602 is

GCF of Numerators i.e. for 385,9482 is 11

LCM of denominators i.e. for 36,602 is 10836.

Thus, GCF of Fractions is 11/10836.Finally, GCF of Fractions for 385/36, 9482/602 is 11/10836.