GCD of 465, 384, 353, 624 Calculator

Given Input numbers are 465, 384, 353, 624

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (465, 384, 353, 624) = 1.

Given numbers are 465, 384, 353, 624

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 353 are 353

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Given numbers are 465, 384, 353, 624

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

Apply this formula for all numbers.

Step1:

LCM(465, 384) = 59520

GCD(465, 384) = ( 465 x 384 ) / 59520

= 465 / 384

= 465

Step2:

LCM(3, 353) = 1059

GCD(3, 353) = ( 3 x 353 ) / 1059

= 3 / 353

= 3

Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1

So, Greatest Common Divisor of 465, 384, 353, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 643, 257, 373
• GCD of 879, 243, 299, 420
• GCD of 159, 240, 358, 595
• GCD of 991, 857, 552, 946
• GCD of 468, 138, 297, 349

Given numbers are 465, 384, 353, 624
The greatest common divisor of numbers 465, 384, 353, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 384, 353, 624 is 1.

1. What is the GCD of 465, 384, 353, 624?

GCD of given numbers 465, 384, 353, 624 is 1

2. How to calculate the greatest common divisor of 465, 384, 353, 624?

We can find the highest common divisor of 465, 384, 353, 624 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 465, 384, 353, 624 i.e 1.

3. How can I use the GCD of 465, 384, 353, 624Calculator?

Out the numbers 465, 384, 353, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.