GCD of 501, 579, 552, 345 Calculator

Given Input numbers are 501, 579, 552, 345

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 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (501, 579, 552, 345) = 3.

Given numbers are 501, 579, 552, 345

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 579 are 3 x 193

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 345 are 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 501, 579, 552, 345 is 3.

Given numbers are 501, 579, 552, 345

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

Apply this formula for all numbers.

Step1:

LCM(501, 579) = 96693

GCD(501, 579) = ( 501 x 579 ) / 96693

= 501 / 579

= 501

Step2:

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

= 3 / 552

= 3

Step3:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

So, Greatest Common Divisor of 501, 579, 552, 345 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 141, 840, 386
• GCD of 540, 899, 425, 616
• GCD of 204, 262, 536, 398
• GCD of 419, 956, 371, 187
• GCD of 133, 320, 786, 290

Given numbers are 501, 579, 552, 345
The greatest common divisor of numbers 501, 579, 552, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 579, 552, 345 is 3.

1. What is the GCD of 501, 579, 552, 345?

GCD of given numbers 501, 579, 552, 345 is 3

2. How to calculate the greatest common divisor of 501, 579, 552, 345?

We can find the highest common divisor of 501, 579, 552, 345 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, 579, 552, 345 i.e 3.

3. How can I use the GCD of 501, 579, 552, 345Calculator?

Out the numbers 501, 579, 552, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.