GCD of 438, 710, 180, 687 Calculator

Given Input numbers are 438, 710, 180, 687

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (438, 710, 180, 687) = 1.

Given numbers are 438, 710, 180, 687

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 710 are 2 x 5 x 71

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

Prime factors of 687 are 3 x 229

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

Given numbers are 438, 710, 180, 687

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

Apply this formula for all numbers.

Step1:

LCM(438, 710) = 155490

GCD(438, 710) = ( 438 x 710 ) / 155490

= 438 / 710

= 438

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

So, Greatest Common Divisor of 438, 710, 180, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 518, 866, 180
• GCD of 440, 546, 359, 188
• GCD of 164, 920, 600, 241
• GCD of 506, 352, 992, 235
• GCD of 383, 163, 759, 374

Given numbers are 438, 710, 180, 687
The greatest common divisor of numbers 438, 710, 180, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 710, 180, 687 is 1.

1. What is the GCD of 438, 710, 180, 687?

GCD of given numbers 438, 710, 180, 687 is 1

2. How to calculate the greatest common divisor of 438, 710, 180, 687?

We can find the highest common divisor of 438, 710, 180, 687 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 438, 710, 180, 687 i.e 1.

3. How can I use the GCD of 438, 710, 180, 687Calculator?

Out the numbers 438, 710, 180, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.