GCD of 849, 537, 144, 567 Calculator

Given Input numbers are 849, 537, 144, 567

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 537 :

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

1, 3, 179, 537

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (849, 537, 144, 567) = 3.

Given numbers are 849, 537, 144, 567

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 537 are 3 x 179

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 849, 537, 144, 567 is 3.

Given numbers are 849, 537, 144, 567

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

Apply this formula for all numbers.

Step1:

LCM(849, 537) = 151971

GCD(849, 537) = ( 849 x 537 ) / 151971

= 849 / 537

= 849

Step2:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

Step3:

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

= 3 / 567

= 3

So, Greatest Common Divisor of 849, 537, 144, 567 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 425, 705, 243
• GCD of 705, 169, 384, 347
• GCD of 159, 298, 810, 101
• GCD of 626, 905, 495, 632
• GCD of 135, 535, 908, 850

Given numbers are 849, 537, 144, 567
The greatest common divisor of numbers 849, 537, 144, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 537, 144, 567 is 3.

1. What is the GCD of 849, 537, 144, 567?

GCD of given numbers 849, 537, 144, 567 is 3

2. How to calculate the greatest common divisor of 849, 537, 144, 567?

We can find the highest common divisor of 849, 537, 144, 567 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 849, 537, 144, 567 i.e 3.

3. How can I use the GCD of 849, 537, 144, 567Calculator?

Out the numbers 849, 537, 144, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.