GCD of 513, 142, 172, 258 Calculator

Given Input numbers are 513, 142, 172, 258

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (513, 142, 172, 258) = 1.

Given numbers are 513, 142, 172, 258

The list of prime factors of all numbers are

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

Prime factors of 142 are 2 x 71

Prime factors of 172 are 2 x 2 x 43

Prime factors of 258 are 2 x 3 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 513, 142, 172, 258

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

Apply this formula for all numbers.

Step1:

LCM(513, 142) = 72846

GCD(513, 142) = ( 513 x 142 ) / 72846

= 513 / 142

= 513

Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

Step3:

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

= 1 / 258

= 1

So, Greatest Common Divisor of 513, 142, 172, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 526, 715, 694
• GCD of 386, 506, 372, 606
• GCD of 222, 366, 544, 824
• GCD of 671, 131, 194, 954
• GCD of 625, 497, 500, 205

Given numbers are 513, 142, 172, 258
The greatest common divisor of numbers 513, 142, 172, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 142, 172, 258 is 1.

1. What is the GCD of 513, 142, 172, 258?

GCD of given numbers 513, 142, 172, 258 is 1

2. How to calculate the greatest common divisor of 513, 142, 172, 258?

We can find the highest common divisor of 513, 142, 172, 258 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, 142, 172, 258 i.e 1.

3. How can I use the GCD of 513, 142, 172, 258Calculator?

Out the numbers 513, 142, 172, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.