GCD of 141, 567, 849, 864 Calculator

Given Input numbers are 141, 567, 849, 864

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

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 567 :

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

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

Divisors of 849 :

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

1, 3, 283, 849

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (141, 567, 849, 864) = 3.

Given numbers are 141, 567, 849, 864

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

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

Prime factors of 849 are 3 x 283

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 141, 567, 849, 864 is 3.

Given numbers are 141, 567, 849, 864

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

Apply this formula for all numbers.

Step1:

LCM(141, 567) = 26649

GCD(141, 567) = ( 141 x 567 ) / 26649

= 141 / 567

= 141

Step2:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

Step3:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

So, Greatest Common Divisor of 141, 567, 849, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 531, 819, 213
• GCD of 921, 442, 255, 220
• GCD of 543, 497, 685, 328
• GCD of 649, 291, 115, 335
• GCD of 724, 829, 242, 623

Given numbers are 141, 567, 849, 864
The greatest common divisor of numbers 141, 567, 849, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 567, 849, 864 is 3.

1. What is the GCD of 141, 567, 849, 864?

GCD of given numbers 141, 567, 849, 864 is 3

2. How to calculate the greatest common divisor of 141, 567, 849, 864?

We can find the highest common divisor of 141, 567, 849, 864 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 141, 567, 849, 864 i.e 3.

3. How can I use the GCD of 141, 567, 849, 864Calculator?

Out the numbers 141, 567, 849, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.