GCD of 501, 213, 588, 381 Calculator

Given Input numbers are 501, 213, 588, 381

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (501, 213, 588, 381) = 3.

Given numbers are 501, 213, 588, 381

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 213 are 3 x 71

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 501, 213, 588, 381 is 3.

Given numbers are 501, 213, 588, 381

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

Apply this formula for all numbers.

Step1:

LCM(501, 213) = 35571

GCD(501, 213) = ( 501 x 213 ) / 35571

= 501 / 213

= 501

Step2:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

Step3:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

So, Greatest Common Divisor of 501, 213, 588, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 933, 775, 137
• GCD of 219, 736, 773, 174
• GCD of 194, 586, 924, 382
• GCD of 267, 248, 888, 816
• GCD of 648, 459, 127, 841

Given numbers are 501, 213, 588, 381
The greatest common divisor of numbers 501, 213, 588, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 213, 588, 381 is 3.

1. What is the GCD of 501, 213, 588, 381?

GCD of given numbers 501, 213, 588, 381 is 3

2. How to calculate the greatest common divisor of 501, 213, 588, 381?

We can find the highest common divisor of 501, 213, 588, 381 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 501, 213, 588, 381 i.e 3.

3. How can I use the GCD of 501, 213, 588, 381Calculator?

Out the numbers 501, 213, 588, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.