GCD of 219, 672, 789, 507 Calculator

Given Input numbers are 219, 672, 789, 507

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

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (219, 672, 789, 507) = 3.

Given numbers are 219, 672, 789, 507

The list of prime factors of all numbers are

Prime factors of 219 are 3 x 73

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 789 are 3 x 263

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 219, 672, 789, 507 is 3.

Given numbers are 219, 672, 789, 507

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

Apply this formula for all numbers.

Step1:

LCM(219, 672) = 49056

GCD(219, 672) = ( 219 x 672 ) / 49056

= 219 / 672

= 219

Step2:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

Step3:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

So, Greatest Common Divisor of 219, 672, 789, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 152, 477, 644
• GCD of 167, 853, 149, 513
• GCD of 885, 462, 104, 331
• GCD of 637, 460, 212, 969
• GCD of 425, 610, 600, 578

Given numbers are 219, 672, 789, 507
The greatest common divisor of numbers 219, 672, 789, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 219, 672, 789, 507 is 3.

1. What is the GCD of 219, 672, 789, 507?

GCD of given numbers 219, 672, 789, 507 is 3

2. How to calculate the greatest common divisor of 219, 672, 789, 507?

We can find the highest common divisor of 219, 672, 789, 507 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 219, 672, 789, 507 i.e 3.

3. How can I use the GCD of 219, 672, 789, 507Calculator?

Out the numbers 219, 672, 789, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.