GCD of 408, 972, 124, 660 Calculator

Given Input numbers are 408, 972, 124, 660

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (408, 972, 124, 660) = 4.

Given numbers are 408, 972, 124, 660

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 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 124 are 2 x 2 x 31

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2²

Therefore, GCD of 408, 972, 124, 660 is 4.

Given numbers are 408, 972, 124, 660

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

Apply this formula for all numbers.

Step1:

LCM(408, 972) = 33048

GCD(408, 972) = ( 408 x 972 ) / 33048

= 408 / 972

= 408

Step2:

LCM(12, 124) = 372

GCD(12, 124) = ( 12 x 124 ) / 372

= 12 / 124

= 12

Step3:

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

= 4 / 660

= 4

So, Greatest Common Divisor of 408, 972, 124, 660 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 243, 937, 731
• GCD of 832, 612, 749, 881
• GCD of 884, 545, 189, 604
• GCD of 156, 796, 931, 665
• GCD of 913, 783, 473, 531

Given numbers are 408, 972, 124, 660
The greatest common divisor of numbers 408, 972, 124, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 972, 124, 660 is 4.

1. What is the GCD of 408, 972, 124, 660?

GCD of given numbers 408, 972, 124, 660 is 4

2. How to calculate the greatest common divisor of 408, 972, 124, 660?

We can find the highest common divisor of 408, 972, 124, 660 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, 972, 124, 660 i.e 4.

3. How can I use the GCD of 408, 972, 124, 660Calculator?

Out the numbers 408, 972, 124, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.