GCD of 600, 664, 77, 947 Calculator

Given Input numbers are 600, 664, 77, 947

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 600, 664, 77, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 664, 77, 947 is 1.

Therefore, GCD of numbers 600, 664, 77, 947 is 1

Given Input Data is 600, 664, 77, 947

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 77 is 7 x 11

Prime Factorization of 947 is 947

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(600, 664) = 49800

GCD(600, 664) = ( 600 x 664 ) / 49800

GCD(600, 664) = 398400 / 49800

GCD(600, 664) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 77

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

LCM(8, 77) = 616

GCD(8, 77) = ( 8 x 77 ) / 616

GCD(8, 77) = 616 / 616

GCD(8, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 600, 664, 77, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 592, 65, 473
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• GCD of 167, 581, 62, 891

1. What is the GCD of 600, 664, 77, 947?

GCD of 600, 664, 77, 947 is 1

2. Where do I get the detailed procedure to find GCD of 600, 664, 77, 947?

You can find a detailed procedure to find GCD of 600, 664, 77, 947 on our page.

3. How to find GCD of 600, 664, 77, 947 on a calculator?

You can find the GCD of 600, 664, 77, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.