GCD of 408, 624, 356, 962 Calculator

Given Input numbers are 408, 624, 356, 962

In the factoring method, we have to find the divisors of all numbers

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

GCD of numbers is the greatest common divisor

So, the GCD (408, 624, 356, 962) = 2.

Given numbers are 408, 624, 356, 962

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 356 are 2 x 2 x 89

Prime factors of 962 are 2 x 13 x 37

The highest common occurrence is 2¹

Therefore, GCD of 408, 624, 356, 962 is 2.

Given numbers are 408, 624, 356, 962

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(408, 624) = 10608

GCD(408, 624) = ( 408 x 624 ) / 10608

= 408 / 624

= 408

Step2:

LCM(24, 356) = 2136

GCD(24, 356) = ( 24 x 356 ) / 2136

= 24 / 356

= 24

Step3:

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

= 4 / 962

= 4

So, Greatest Common Divisor of 408, 624, 356, 962 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 752, 546, 108
• GCD of 946, 464, 729, 704
• GCD of 734, 829, 412, 791
• GCD of 712, 643, 102, 470
• GCD of 422, 199, 919, 491

Given numbers are 408, 624, 356, 962
The greatest common divisor of numbers 408, 624, 356, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 624, 356, 962 is 2.

1. What is the GCD of 408, 624, 356, 962?

GCD of given numbers 408, 624, 356, 962 is 2

2. How to calculate the greatest common divisor of 408, 624, 356, 962?

We can find the highest common divisor of 408, 624, 356, 962 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 408, 624, 356, 962 i.e 2.

3. How can I use the GCD of 408, 624, 356, 962Calculator?

Out the numbers 408, 624, 356, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.