GCD of 946, 154, 15 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 946, 154, 15 i.e. 1 largest integer that divides all the numbers equally.

GCD of 946, 154, 15 is 1

GCD(946, 154, 15) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 946, 154, 15 is 1

GCD(946, 154, 15) = 1

GCD of 946,154,15 Calculator

GCDof 946,154,15 is 1

Given Input numbers are 946, 154, 15

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Greatest Common Divisior

We found the divisors of 946, 154, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 154, 15 is 1.

Therefore, GCD of numbers 946, 154, 15 is 1

Finding GCD of 946, 154, 15 using Prime Factorization

Given Input Data is 946, 154, 15

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 15 is 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 946, 154, 15 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(946, 154) = 6622

GCD(946, 154) = ( 946 x 154 ) / 6622

GCD(946, 154) = 145684 / 6622

GCD(946, 154) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 15

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(22, 15) = 330

GCD(22, 15) = ( 22 x 15 ) / 330

GCD(22, 15) = 330 / 330

GCD(22, 15) = 1

GCD of 946, 154, 15 is 1

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FAQs on GCD of numbers 946, 154, 15

1. What is the GCD of 946, 154, 15?

GCD of 946, 154, 15 is 1

2. Where do I get the detailed procedure to find GCD of 946, 154, 15?

You can find a detailed procedure to find GCD of 946, 154, 15 on our page.

3. How to find GCD of 946, 154, 15 on a calculator?

You can find the GCD of 946, 154, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.