GCD of 513, 522, 771, 162 Calculator

Given Input numbers are 513, 522, 771, 162

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (513, 522, 771, 162) = 3.

Given numbers are 513, 522, 771, 162

The list of prime factors of all numbers are

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

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 771 are 3 x 257

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 513, 522, 771, 162 is 3.

Given numbers are 513, 522, 771, 162

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

Apply this formula for all numbers.

Step1:

LCM(513, 522) = 29754

GCD(513, 522) = ( 513 x 522 ) / 29754

= 513 / 522

= 513

Step2:

LCM(9, 771) = 2313

GCD(9, 771) = ( 9 x 771 ) / 2313

= 9 / 771

= 9

Step3:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 513, 522, 771, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 830, 424, 934
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Given numbers are 513, 522, 771, 162
The greatest common divisor of numbers 513, 522, 771, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 522, 771, 162 is 3.

1. What is the GCD of 513, 522, 771, 162?

GCD of given numbers 513, 522, 771, 162 is 3

2. How to calculate the greatest common divisor of 513, 522, 771, 162?

We can find the highest common divisor of 513, 522, 771, 162 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, 522, 771, 162 i.e 3.

3. How can I use the GCD of 513, 522, 771, 162Calculator?

Out the numbers 513, 522, 771, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.