GCD of 543, 624, 214, 143 Calculator

Given Input numbers are 543, 624, 214, 143

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

Divisors of 543 :

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

1, 3, 181, 543

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

GCD of numbers is the greatest common divisor

So, the GCD (543, 624, 214, 143) = 1.

Given numbers are 543, 624, 214, 143

The list of prime factors of all numbers are

Prime factors of 543 are 3 x 181

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 214 are 2 x 107

Prime factors of 143 are 11 x 13

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

Given numbers are 543, 624, 214, 143

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

Apply this formula for all numbers.

Step1:

LCM(543, 624) = 112944

GCD(543, 624) = ( 543 x 624 ) / 112944

= 543 / 624

= 543

Step2:

LCM(3, 214) = 642

GCD(3, 214) = ( 3 x 214 ) / 642

= 3 / 214

= 3

Step3:

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

= 1 / 143

= 1

So, Greatest Common Divisor of 543, 624, 214, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 502, 396, 598
• GCD of 387, 969, 168, 907
• GCD of 706, 970, 927, 265
• GCD of 558, 988, 958, 426
• GCD of 420, 345, 453, 453

Given numbers are 543, 624, 214, 143
The greatest common divisor of numbers 543, 624, 214, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 624, 214, 143 is 1.

1. What is the GCD of 543, 624, 214, 143?

GCD of given numbers 543, 624, 214, 143 is 1

2. How to calculate the greatest common divisor of 543, 624, 214, 143?

We can find the highest common divisor of 543, 624, 214, 143 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 543, 624, 214, 143 i.e 1.

3. How can I use the GCD of 543, 624, 214, 143Calculator?

Out the numbers 543, 624, 214, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.