GCD of 359, 659, 49, 456 Calculator

Given Input numbers are 359, 659, 49, 456

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 359, 659, 49, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 659, 49, 456 is 1.

Therefore, GCD of numbers 359, 659, 49, 456 is 1

Given Input Data is 359, 659, 49, 456

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

Prime Factorization of 359 is 359

Prime Factorization of 659 is 659

Prime Factorization of 49 is 7 x 7

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(359, 659) = 236581

GCD(359, 659) = ( 359 x 659 ) / 236581

GCD(359, 659) = 236581 / 236581

GCD(359, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 359, 659, 49, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 237, 28, 410
• GCD of 949, 494, 30, 934
• GCD of 273, 709, 96, 470
• GCD of 344, 993, 16, 323
• GCD of 701, 846, 55, 713

1. What is the GCD of 359, 659, 49, 456?

GCD of 359, 659, 49, 456 is 1

2. Where do I get the detailed procedure to find GCD of 359, 659, 49, 456?

You can find a detailed procedure to find GCD of 359, 659, 49, 456 on our page.

3. How to find GCD of 359, 659, 49, 456 on a calculator?

You can find the GCD of 359, 659, 49, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.