GCD of 946, 607, 90, 138 Calculator

Given Input numbers are 946, 607, 90, 138

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 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 946, 607, 90, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 607, 90, 138 is 1.

Therefore, GCD of numbers 946, 607, 90, 138 is 1

Given Input Data is 946, 607, 90, 138

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 607 is 607

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 138 is 2 x 3 x 23

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(946, 607) = 574222

GCD(946, 607) = ( 946 x 607 ) / 574222

GCD(946, 607) = 574222 / 574222

GCD(946, 607) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 946, 607, 90, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 156, 17, 338
• GCD of 566, 268, 98, 479
• GCD of 459, 127, 42, 487
• GCD of 296, 731, 66, 947
• GCD of 256, 483, 78, 140

1. What is the GCD of 946, 607, 90, 138?

GCD of 946, 607, 90, 138 is 1

2. Where do I get the detailed procedure to find GCD of 946, 607, 90, 138?

You can find a detailed procedure to find GCD of 946, 607, 90, 138 on our page.

3. How to find GCD of 946, 607, 90, 138 on a calculator?

You can find the GCD of 946, 607, 90, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.