GCD of 235, 507, 329, 144 Calculator

Given Input numbers are 235, 507, 329, 144

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (235, 507, 329, 144) = 1.

Given numbers are 235, 507, 329, 144

The list of prime factors of all numbers are

Prime factors of 235 are 5 x 47

Prime factors of 507 are 3 x 13 x 13

Prime factors of 329 are 7 x 47

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 235, 507, 329, 144

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

Apply this formula for all numbers.

Step1:

LCM(235, 507) = 119145

GCD(235, 507) = ( 235 x 507 ) / 119145

= 235 / 507

= 235

Step2:

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

= 1 / 329

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 235, 507, 329, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 749, 973, 265
• GCD of 619, 284, 662, 231
• GCD of 519, 484, 774, 141
• GCD of 146, 678, 637, 652
• GCD of 311, 780, 732, 393

Given numbers are 235, 507, 329, 144
The greatest common divisor of numbers 235, 507, 329, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 507, 329, 144 is 1.

1. What is the GCD of 235, 507, 329, 144?

GCD of given numbers 235, 507, 329, 144 is 1

2. How to calculate the greatest common divisor of 235, 507, 329, 144?

We can find the highest common divisor of 235, 507, 329, 144 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 235, 507, 329, 144 i.e 1.

3. How can I use the GCD of 235, 507, 329, 144Calculator?

Out the numbers 235, 507, 329, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.