GCD of 921, 180, 459, 747 Calculator

Given Input numbers are 921, 180, 459, 747

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (921, 180, 459, 747) = 3.

Given numbers are 921, 180, 459, 747

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 921, 180, 459, 747 is 3.

Given numbers are 921, 180, 459, 747

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

Apply this formula for all numbers.

Step1:

LCM(921, 180) = 55260

GCD(921, 180) = ( 921 x 180 ) / 55260

= 921 / 180

= 921

Step2:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 921, 180, 459, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 984, 307, 643
• GCD of 509, 432, 637, 971
• GCD of 812, 597, 574, 850
• GCD of 573, 804, 209, 989
• GCD of 232, 799, 962, 787

Given numbers are 921, 180, 459, 747
The greatest common divisor of numbers 921, 180, 459, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 180, 459, 747 is 3.

1. What is the GCD of 921, 180, 459, 747?

GCD of given numbers 921, 180, 459, 747 is 3

2. How to calculate the greatest common divisor of 921, 180, 459, 747?

We can find the highest common divisor of 921, 180, 459, 747 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 921, 180, 459, 747 i.e 3.

3. How can I use the GCD of 921, 180, 459, 747Calculator?

Out the numbers 921, 180, 459, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.