GCD of 508, 738, 216, 541 Calculator

Given Input numbers are 508, 738, 216, 541

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 541 :

The positive integer divisors of 541 that completely divides 541 are.

1, 541

GCD of numbers is the greatest common divisor

So, the GCD (508, 738, 216, 541) = 1.

Given numbers are 508, 738, 216, 541

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 541 are 541

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

Given numbers are 508, 738, 216, 541

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

Apply this formula for all numbers.

Step1:

LCM(508, 738) = 187452

GCD(508, 738) = ( 508 x 738 ) / 187452

= 508 / 738

= 508

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 541) = 1082

GCD(2, 541) = ( 2 x 541 ) / 1082

= 2 / 541

= 2

So, Greatest Common Divisor of 508, 738, 216, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 858, 803, 176
• GCD of 148, 161, 185, 529
• GCD of 105, 428, 606, 380
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• GCD of 968, 170, 197, 980

Given numbers are 508, 738, 216, 541
The greatest common divisor of numbers 508, 738, 216, 541 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 738, 216, 541 is 1.

1. What is the GCD of 508, 738, 216, 541?

GCD of given numbers 508, 738, 216, 541 is 1

2. How to calculate the greatest common divisor of 508, 738, 216, 541?

We can find the highest common divisor of 508, 738, 216, 541 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 508, 738, 216, 541 i.e 1.

3. How can I use the GCD of 508, 738, 216, 541Calculator?

Out the numbers 508, 738, 216, 541 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.