GCD of 218, 142, 745, 624 Calculator

Given Input numbers are 218, 142, 745, 624

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

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

GCD of numbers is the greatest common divisor

So, the GCD (218, 142, 745, 624) = 1.

Given numbers are 218, 142, 745, 624

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 142 are 2 x 71

Prime factors of 745 are 5 x 149

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

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

Given numbers are 218, 142, 745, 624

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

Apply this formula for all numbers.

Step1:

LCM(218, 142) = 15478

GCD(218, 142) = ( 218 x 142 ) / 15478

= 218 / 142

= 218

Step2:

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

= 2 / 745

= 2

Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1

So, Greatest Common Divisor of 218, 142, 745, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 852, 430, 498
• GCD of 620, 832, 901, 668
• GCD of 663, 356, 150, 466
• GCD of 696, 727, 482, 534
• GCD of 822, 276, 585, 392

Given numbers are 218, 142, 745, 624
The greatest common divisor of numbers 218, 142, 745, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 142, 745, 624 is 1.

1. What is the GCD of 218, 142, 745, 624?

GCD of given numbers 218, 142, 745, 624 is 1

2. How to calculate the greatest common divisor of 218, 142, 745, 624?

We can find the highest common divisor of 218, 142, 745, 624 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 218, 142, 745, 624 i.e 1.

3. How can I use the GCD of 218, 142, 745, 624Calculator?

Out the numbers 218, 142, 745, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.