GCD of 546, 504, 348, 588 Calculator

Given Input numbers are 546, 504, 348, 588

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

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

GCD of numbers is the greatest common divisor

So, the GCD (546, 504, 348, 588) = 6.

Given numbers are 546, 504, 348, 588

The list of prime factors of all numbers are

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 348 are 2 x 2 x 3 x 29

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 546, 504, 348, 588 is 6.

Given numbers are 546, 504, 348, 588

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

Apply this formula for all numbers.

Step1:

LCM(546, 504) = 6552

GCD(546, 504) = ( 546 x 504 ) / 6552

= 546 / 504

= 546

Step2:

LCM(42, 348) = 2436

GCD(42, 348) = ( 42 x 348 ) / 2436

= 42 / 348

= 42

Step3:

LCM(6, 588) = 588

GCD(6, 588) = ( 6 x 588 ) / 588

= 6 / 588

= 6

So, Greatest Common Divisor of 546, 504, 348, 588 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 912, 205, 380
• GCD of 439, 650, 405, 748
• GCD of 962, 599, 160, 679
• GCD of 126, 709, 254, 432
• GCD of 726, 789, 201, 770

Given numbers are 546, 504, 348, 588
The greatest common divisor of numbers 546, 504, 348, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 504, 348, 588 is 6.

1. What is the GCD of 546, 504, 348, 588?

GCD of given numbers 546, 504, 348, 588 is 6

2. How to calculate the greatest common divisor of 546, 504, 348, 588?

We can find the highest common divisor of 546, 504, 348, 588 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 546, 504, 348, 588 i.e 6.

3. How can I use the GCD of 546, 504, 348, 588Calculator?

Out the numbers 546, 504, 348, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.