GCD of 207, 972, 429, 558 Calculator

Given Input numbers are 207, 972, 429, 558

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (207, 972, 429, 558) = 3.

Given numbers are 207, 972, 429, 558

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 429 are 3 x 11 x 13

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 207, 972, 429, 558 is 3.

Given numbers are 207, 972, 429, 558

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

Apply this formula for all numbers.

Step1:

LCM(207, 972) = 22356

GCD(207, 972) = ( 207 x 972 ) / 22356

= 207 / 972

= 207

Step2:

LCM(9, 429) = 1287

GCD(9, 429) = ( 9 x 429 ) / 1287

= 9 / 429

= 9

Step3:

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

= 3 / 558

= 3

So, Greatest Common Divisor of 207, 972, 429, 558 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 280, 288, 846
• GCD of 420, 902, 639, 869
• GCD of 176, 950, 723, 984
• GCD of 994, 833, 927, 605
• GCD of 248, 565, 411, 400

Given numbers are 207, 972, 429, 558
The greatest common divisor of numbers 207, 972, 429, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 972, 429, 558 is 3.

1. What is the GCD of 207, 972, 429, 558?

GCD of given numbers 207, 972, 429, 558 is 3

2. How to calculate the greatest common divisor of 207, 972, 429, 558?

We can find the highest common divisor of 207, 972, 429, 558 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 207, 972, 429, 558 i.e 3.

3. How can I use the GCD of 207, 972, 429, 558Calculator?

Out the numbers 207, 972, 429, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.