GCD of 861, 543, 692, 180 Calculator

Given Input numbers are 861, 543, 692, 180

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

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

GCD of numbers is the greatest common divisor

So, the GCD (861, 543, 692, 180) = 1.

Given numbers are 861, 543, 692, 180

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 543 are 3 x 181

Prime factors of 692 are 2 x 2 x 173

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 861, 543, 692, 180

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

Apply this formula for all numbers.

Step1:

LCM(861, 543) = 155841

GCD(861, 543) = ( 861 x 543 ) / 155841

= 861 / 543

= 861

Step2:

LCM(3, 692) = 2076

GCD(3, 692) = ( 3 x 692 ) / 2076

= 3 / 692

= 3

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 861, 543, 692, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 236, 993, 871
• GCD of 918, 341, 557, 705
• GCD of 987, 487, 990, 464
• GCD of 333, 799, 968, 642
• GCD of 646, 425, 547, 472

Given numbers are 861, 543, 692, 180
The greatest common divisor of numbers 861, 543, 692, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 543, 692, 180 is 1.

1. What is the GCD of 861, 543, 692, 180?

GCD of given numbers 861, 543, 692, 180 is 1

2. How to calculate the greatest common divisor of 861, 543, 692, 180?

We can find the highest common divisor of 861, 543, 692, 180 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 861, 543, 692, 180 i.e 1.

3. How can I use the GCD of 861, 543, 692, 180Calculator?

Out the numbers 861, 543, 692, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.