GCD of 408, 624, 144, 313 Calculator

Given Input numbers are 408, 624, 144, 313

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (408, 624, 144, 313) = 1.

Given numbers are 408, 624, 144, 313

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

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

Prime factors of 313 are 313

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

Given numbers are 408, 624, 144, 313

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

Apply this formula for all numbers.

Step1:

LCM(408, 624) = 10608

GCD(408, 624) = ( 408 x 624 ) / 10608

= 408 / 624

= 408

Step2:

LCM(24, 144) = 144

GCD(24, 144) = ( 24 x 144 ) / 144

= 24 / 144

= 24

Step3:

LCM(24, 313) = 7512

GCD(24, 313) = ( 24 x 313 ) / 7512

= 24 / 313

= 24

So, Greatest Common Divisor of 408, 624, 144, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 332, 329, 539
• GCD of 233, 402, 753, 767
• GCD of 785, 414, 581, 576
• GCD of 446, 346, 688, 400
• GCD of 538, 331, 817, 105

Given numbers are 408, 624, 144, 313
The greatest common divisor of numbers 408, 624, 144, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 624, 144, 313 is 1.

1. What is the GCD of 408, 624, 144, 313?

GCD of given numbers 408, 624, 144, 313 is 1

2. How to calculate the greatest common divisor of 408, 624, 144, 313?

We can find the highest common divisor of 408, 624, 144, 313 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 408, 624, 144, 313 i.e 1.

3. How can I use the GCD of 408, 624, 144, 313Calculator?

Out the numbers 408, 624, 144, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.