GCD of 360, 690, 632, 634 Calculator

Given Input numbers are 360, 690, 632, 634

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 360, 690, 632, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 690, 632, 634 is 2.

Therefore, GCD of numbers 360, 690, 632, 634 is 2

Given Input Data is 360, 690, 632, 634

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 634 is 2 x 317

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(360, 690) = 8280

GCD(360, 690) = ( 360 x 690 ) / 8280

GCD(360, 690) = 248400 / 8280

GCD(360, 690) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 632

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

LCM(30, 632) = 9480

GCD(30, 632) = ( 30 x 632 ) / 9480

GCD(30, 632) = 18960 / 9480

GCD(30, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 360, 690, 632, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 858, 851, 156
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• GCD of 946, 315, 792, 768
• GCD of 396, 681, 321, 957

1. What is the GCD of 360, 690, 632, 634?

GCD of 360, 690, 632, 634 is 2

2. Where do I get the detailed procedure to find GCD of 360, 690, 632, 634?

You can find a detailed procedure to find GCD of 360, 690, 632, 634 on our page.

3. How to find GCD of 360, 690, 632, 634 on a calculator?

You can find the GCD of 360, 690, 632, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.