GCD of 768, 537, 138, 213 Calculator

Given Input numbers are 768, 537, 138, 213

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (768, 537, 138, 213) = 3.

Given numbers are 768, 537, 138, 213

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 537 are 3 x 179

Prime factors of 138 are 2 x 3 x 23

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 768, 537, 138, 213 is 3.

Given numbers are 768, 537, 138, 213

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

Apply this formula for all numbers.

Step1:

LCM(768, 537) = 137472

GCD(768, 537) = ( 768 x 537 ) / 137472

= 768 / 537

= 768

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

So, Greatest Common Divisor of 768, 537, 138, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 891, 400, 554
• GCD of 882, 150, 902, 650
• GCD of 290, 138, 645, 942
• GCD of 781, 244, 545, 723
• GCD of 163, 106, 914, 731

Given numbers are 768, 537, 138, 213
The greatest common divisor of numbers 768, 537, 138, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 537, 138, 213 is 3.

1. What is the GCD of 768, 537, 138, 213?

GCD of given numbers 768, 537, 138, 213 is 3

2. How to calculate the greatest common divisor of 768, 537, 138, 213?

We can find the highest common divisor of 768, 537, 138, 213 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 768, 537, 138, 213 i.e 3.

3. How can I use the GCD of 768, 537, 138, 213Calculator?

Out the numbers 768, 537, 138, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.