GCD of 513, 145, 172 Calculator

Given Input numbers are 513, 145, 172

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 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (513, 145, 172) = 1.

Given numbers are 513, 145, 172

The list of prime factors of all numbers are

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

Prime factors of 145 are 5 x 29

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 513, 145, 172

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

Apply this formula for all numbers.

Step1:

LCM(513, 145) = 74385

GCD(513, 145) = ( 513 x 145 ) / 74385

= 513 / 145

= 513

Step2:

LCM(1, 172) = 172

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

= 1 / 172

= 1

So, Greatest Common Divisor of 513, 145, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 762, 307
• GCD of 720, 656, 496
• GCD of 136, 605, 346
• GCD of 445, 398, 115
• GCD of 141, 893, 957

Given numbers are 513, 145, 172
The greatest common divisor of numbers 513, 145, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 145, 172 is 1.

1. What is the GCD of 513, 145, 172?

GCD of given numbers 513, 145, 172 is 1

2. How to calculate the greatest common divisor of 513, 145, 172?

We can find the highest common divisor of 513, 145, 172 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, 145, 172 i.e 1.

3. How can I use the GCD of 513, 145, 172Calculator?

Out the numbers 513, 145, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.