GCD of 972, 408, 498, 411 Calculator

Given Input numbers are 972, 408, 498, 411

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

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 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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

GCD of numbers is the greatest common divisor

So, the GCD (972, 408, 498, 411) = 3.

Given numbers are 972, 408, 498, 411

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 498 are 2 x 3 x 83

Prime factors of 411 are 3 x 137

The highest common occurrence is 3¹

Therefore, GCD of 972, 408, 498, 411 is 3.

Given numbers are 972, 408, 498, 411

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

Apply this formula for all numbers.

Step1:

LCM(972, 408) = 33048

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

= 972 / 408

= 972

Step2:

LCM(12, 498) = 996

GCD(12, 498) = ( 12 x 498 ) / 996

= 12 / 498

= 12

Step3:

LCM(6, 411) = 822

GCD(6, 411) = ( 6 x 411 ) / 822

= 6 / 411

= 6

So, Greatest Common Divisor of 972, 408, 498, 411 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 496, 871, 741
• GCD of 921, 692, 722, 734
• GCD of 827, 345, 588, 598
• GCD of 727, 823, 629, 240
• GCD of 220, 514, 629, 694

Given numbers are 972, 408, 498, 411
The greatest common divisor of numbers 972, 408, 498, 411 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 408, 498, 411 is 3.

1. What is the GCD of 972, 408, 498, 411?

GCD of given numbers 972, 408, 498, 411 is 3

2. How to calculate the greatest common divisor of 972, 408, 498, 411?

We can find the highest common divisor of 972, 408, 498, 411 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 972, 408, 498, 411 i.e 3.

3. How can I use the GCD of 972, 408, 498, 411Calculator?

Out the numbers 972, 408, 498, 411 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.