GCD of 513, 222, 270, 126 Calculator

Given Input numbers are 513, 222, 270, 126

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (513, 222, 270, 126) = 3.

Given numbers are 513, 222, 270, 126

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 222 are 2 x 3 x 37

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 513, 222, 270, 126 is 3.

Given numbers are 513, 222, 270, 126

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

Apply this formula for all numbers.

Step1:

LCM(513, 222) = 37962

GCD(513, 222) = ( 513 x 222 ) / 37962

= 513 / 222

= 513

Step2:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

Step3:

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

= 3 / 126

= 3

So, Greatest Common Divisor of 513, 222, 270, 126 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 888, 870, 989
• GCD of 111, 868, 711, 591
• GCD of 936, 170, 534, 830
• GCD of 350, 659, 658, 440
• GCD of 165, 509, 745, 186

Given numbers are 513, 222, 270, 126
The greatest common divisor of numbers 513, 222, 270, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 222, 270, 126 is 3.

1. What is the GCD of 513, 222, 270, 126?

GCD of given numbers 513, 222, 270, 126 is 3

2. How to calculate the greatest common divisor of 513, 222, 270, 126?

We can find the highest common divisor of 513, 222, 270, 126 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 513, 222, 270, 126 i.e 3.

3. How can I use the GCD of 513, 222, 270, 126Calculator?

Out the numbers 513, 222, 270, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.