GCD of 705, 981, 552, 324 Calculator

Given Input numbers are 705, 981, 552, 324

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (705, 981, 552, 324) = 3.

Given numbers are 705, 981, 552, 324

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 981 are 3 x 3 x 109

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 705, 981, 552, 324 is 3.

Given numbers are 705, 981, 552, 324

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

Apply this formula for all numbers.

Step1:

LCM(705, 981) = 230535

GCD(705, 981) = ( 705 x 981 ) / 230535

= 705 / 981

= 705

Step2:

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

= 3 / 552

= 3

Step3:

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

= 3 / 324

= 3

So, Greatest Common Divisor of 705, 981, 552, 324 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 716, 325, 647
• GCD of 367, 781, 444, 600
• GCD of 240, 201, 956, 781
• GCD of 673, 217, 781, 660
• GCD of 583, 159, 243, 905

Given numbers are 705, 981, 552, 324
The greatest common divisor of numbers 705, 981, 552, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 981, 552, 324 is 3.

1. What is the GCD of 705, 981, 552, 324?

GCD of given numbers 705, 981, 552, 324 is 3

2. How to calculate the greatest common divisor of 705, 981, 552, 324?

We can find the highest common divisor of 705, 981, 552, 324 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 705, 981, 552, 324 i.e 3.

3. How can I use the GCD of 705, 981, 552, 324Calculator?

Out the numbers 705, 981, 552, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.