GCD of 920, 649, 705, 324 Calculator

Given Input numbers are 920, 649, 705, 324

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 705 :

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

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

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 (920, 649, 705, 324) = 1.

Given numbers are 920, 649, 705, 324

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 649 are 11 x 59

Prime factors of 705 are 3 x 5 x 47

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 920, 649, 705, 324

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

Apply this formula for all numbers.

Step1:

LCM(920, 649) = 597080

GCD(920, 649) = ( 920 x 649 ) / 597080

= 920 / 649

= 920

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

= 1 / 324

= 1

So, Greatest Common Divisor of 920, 649, 705, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 966, 794, 184
• GCD of 694, 900, 824, 878
• GCD of 869, 836, 513, 592
• GCD of 442, 553, 524, 929
• GCD of 565, 328, 149, 691

Given numbers are 920, 649, 705, 324
The greatest common divisor of numbers 920, 649, 705, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 649, 705, 324 is 1.

1. What is the GCD of 920, 649, 705, 324?

GCD of given numbers 920, 649, 705, 324 is 1

2. How to calculate the greatest common divisor of 920, 649, 705, 324?

We can find the highest common divisor of 920, 649, 705, 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 920, 649, 705, 324 i.e 1.

3. How can I use the GCD of 920, 649, 705, 324Calculator?

Out the numbers 920, 649, 705, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.