GCD of 46, 475, 979, 364 Calculator

Given Input numbers are 46, 475, 979, 364

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 46, 475, 979, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 475, 979, 364 is 1.

Therefore, GCD of numbers 46, 475, 979, 364 is 1

Given Input Data is 46, 475, 979, 364

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 979 is 11 x 89

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(46, 475) = 21850

GCD(46, 475) = ( 46 x 475 ) / 21850

GCD(46, 475) = 21850 / 21850

GCD(46, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 46, 475, 979, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 993, 244, 282
• GCD of 67, 666, 152, 328
• GCD of 91, 823, 148, 665
• GCD of 20, 498, 578, 850
• GCD of 61, 156, 967, 569

1. What is the GCD of 46, 475, 979, 364?

GCD of 46, 475, 979, 364 is 1

2. Where do I get the detailed procedure to find GCD of 46, 475, 979, 364?

You can find a detailed procedure to find GCD of 46, 475, 979, 364 on our page.

3. How to find GCD of 46, 475, 979, 364 on a calculator?

You can find the GCD of 46, 475, 979, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.