GCD of 654, 964, 450, 624 Calculator

Given Input numbers are 654, 964, 450, 624

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 654, 964, 450, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 964, 450, 624 is 2.

Therefore, GCD of numbers 654, 964, 450, 624 is 2

Given Input Data is 654, 964, 450, 624

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(654, 964) = 315228

GCD(654, 964) = ( 654 x 964 ) / 315228

GCD(654, 964) = 630456 / 315228

GCD(654, 964) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 450

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

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

GCD(2, 450) = 900 / 450

GCD(2, 450) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

GCD of 654, 964, 450, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 622, 917, 619
• GCD of 300, 517, 889, 274
• GCD of 883, 382, 153, 922
• GCD of 240, 960, 770, 349
• GCD of 440, 593, 977, 527

1. What is the GCD of 654, 964, 450, 624?

GCD of 654, 964, 450, 624 is 2

2. Where do I get the detailed procedure to find GCD of 654, 964, 450, 624?

You can find a detailed procedure to find GCD of 654, 964, 450, 624 on our page.

3. How to find GCD of 654, 964, 450, 624 on a calculator?

You can find the GCD of 654, 964, 450, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.