GCD of 153, 513, 342 Calculator

Given Input numbers are 153, 513, 342

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

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 513 :

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

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (153, 513, 342) = 9.

Given numbers are 153, 513, 342

The list of prime factors of all numbers are

Prime factors of 153 are 3 x 3 x 17

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

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3²

Therefore, GCD of 153, 513, 342 is 9.

Given numbers are 153, 513, 342

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

Apply this formula for all numbers.

Step1:

LCM(153, 513) = 8721

GCD(153, 513) = ( 153 x 513 ) / 8721

= 153 / 513

= 153

Step2:

LCM(9, 342) = 342

GCD(9, 342) = ( 9 x 342 ) / 342

= 9 / 342

= 9

So, Greatest Common Divisor of 153, 513, 342 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 324, 951
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• GCD of 466, 275, 500
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Given numbers are 153, 513, 342
The greatest common divisor of numbers 153, 513, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 513, 342 is 9.

1. What is the GCD of 153, 513, 342?

GCD of given numbers 153, 513, 342 is 9

2. How to calculate the greatest common divisor of 153, 513, 342?

We can find the highest common divisor of 153, 513, 342 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 153, 513, 342 i.e 9.

3. How can I use the GCD of 153, 513, 342Calculator?

Out the numbers 153, 513, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.