GCD of 534, 972, 450, 336 Calculator

Given Input numbers are 534, 972, 450, 336

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

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (534, 972, 450, 336) = 6.

Given numbers are 534, 972, 450, 336

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

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

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 534, 972, 450, 336 is 6.

Given numbers are 534, 972, 450, 336

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

Apply this formula for all numbers.

Step1:

LCM(534, 972) = 86508

GCD(534, 972) = ( 534 x 972 ) / 86508

= 534 / 972

= 534

Step2:

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

= 6 / 450

= 6

Step3:

LCM(6, 336) = 336

GCD(6, 336) = ( 6 x 336 ) / 336

= 6 / 336

= 6

So, Greatest Common Divisor of 534, 972, 450, 336 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 984, 121, 443
• GCD of 463, 983, 256, 377
• GCD of 563, 508, 876, 361
• GCD of 188, 603, 310, 502
• GCD of 945, 466, 421, 518

Given numbers are 534, 972, 450, 336
The greatest common divisor of numbers 534, 972, 450, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 972, 450, 336 is 6.

1. What is the GCD of 534, 972, 450, 336?

GCD of given numbers 534, 972, 450, 336 is 6

2. How to calculate the greatest common divisor of 534, 972, 450, 336?

We can find the highest common divisor of 534, 972, 450, 336 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 534, 972, 450, 336 i.e 6.

3. How can I use the GCD of 534, 972, 450, 336Calculator?

Out the numbers 534, 972, 450, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.