GCD of 144, 252, 829, 351 Calculator

Given Input numbers are 144, 252, 829, 351

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

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (144, 252, 829, 351) = 1.

Given numbers are 144, 252, 829, 351

The list of prime factors of all numbers are

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

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 829 are 829

Prime factors of 351 are 3 x 3 x 3 x 13

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

Given numbers are 144, 252, 829, 351

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

Apply this formula for all numbers.

Step1:

LCM(144, 252) = 1008

GCD(144, 252) = ( 144 x 252 ) / 1008

= 144 / 252

= 144

Step2:

LCM(36, 829) = 29844

GCD(36, 829) = ( 36 x 829 ) / 29844

= 36 / 829

= 36

Step3:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1

So, Greatest Common Divisor of 144, 252, 829, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 736, 835, 237
• GCD of 467, 951, 283, 561
• GCD of 407, 200, 775, 321
• GCD of 282, 196, 875, 524
• GCD of 718, 949, 924, 166

Given numbers are 144, 252, 829, 351
The greatest common divisor of numbers 144, 252, 829, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 252, 829, 351 is 1.

1. What is the GCD of 144, 252, 829, 351?

GCD of given numbers 144, 252, 829, 351 is 1

2. How to calculate the greatest common divisor of 144, 252, 829, 351?

We can find the highest common divisor of 144, 252, 829, 351 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 144, 252, 829, 351 i.e 1.

3. How can I use the GCD of 144, 252, 829, 351Calculator?

Out the numbers 144, 252, 829, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.