GCD of 759, 624, 351, 638 Calculator

Given Input numbers are 759, 624, 351, 638

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

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 351 :

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

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (759, 624, 351, 638) = 1.

Given numbers are 759, 624, 351, 638

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

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

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

Prime factors of 638 are 2 x 11 x 29

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

Given numbers are 759, 624, 351, 638

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

Apply this formula for all numbers.

Step1:

LCM(759, 624) = 157872

GCD(759, 624) = ( 759 x 624 ) / 157872

= 759 / 624

= 759

Step2:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

Step3:

LCM(3, 638) = 1914

GCD(3, 638) = ( 3 x 638 ) / 1914

= 3 / 638

= 3

So, Greatest Common Divisor of 759, 624, 351, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 121, 530, 742
• GCD of 406, 710, 632, 512
• GCD of 129, 863, 198, 295
• GCD of 548, 862, 801, 450
• GCD of 972, 619, 881, 419

Given numbers are 759, 624, 351, 638
The greatest common divisor of numbers 759, 624, 351, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 624, 351, 638 is 1.

1. What is the GCD of 759, 624, 351, 638?

GCD of given numbers 759, 624, 351, 638 is 1

2. How to calculate the greatest common divisor of 759, 624, 351, 638?

We can find the highest common divisor of 759, 624, 351, 638 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 759, 624, 351, 638 i.e 1.

3. How can I use the GCD of 759, 624, 351, 638Calculator?

Out the numbers 759, 624, 351, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.