GCD of 149, 416, 237, 946 Calculator

Given Input numbers are 149, 416, 237, 946

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 946

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

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

Greatest Common Divisior

We found the divisors of 149, 416, 237, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 416, 237, 946 is 1.

Therefore, GCD of numbers 149, 416, 237, 946 is 1

Given Input Data is 149, 416, 237, 946

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

Prime Factorization of 149 is 149

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 237 is 3 x 79

Prime Factorization of 946 is 2 x 11 x 43

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

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(149, 416) = 61984

GCD(149, 416) = ( 149 x 416 ) / 61984

GCD(149, 416) = 61984 / 61984

GCD(149, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 237

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

LCM(1, 237) = 237

GCD(1, 237) = ( 1 x 237 ) / 237

GCD(1, 237) = 237 / 237

GCD(1, 237) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 149, 416, 237, 946 is 1

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1. What is the GCD of 149, 416, 237, 946?

GCD of 149, 416, 237, 946 is 1

2. Where do I get the detailed procedure to find GCD of 149, 416, 237, 946?

You can find a detailed procedure to find GCD of 149, 416, 237, 946 on our page.

3. How to find GCD of 149, 416, 237, 946 on a calculator?

You can find the GCD of 149, 416, 237, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.