GCD of 378, 638, 840, 517 Calculator

Given Input numbers are 378, 638, 840, 517

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 638 :

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

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

GCD of numbers is the greatest common divisor

So, the GCD (378, 638, 840, 517) = 1.

Given numbers are 378, 638, 840, 517

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 638 are 2 x 11 x 29

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 517 are 11 x 47

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

Given numbers are 378, 638, 840, 517

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

Apply this formula for all numbers.

Step1:

LCM(378, 638) = 120582

GCD(378, 638) = ( 378 x 638 ) / 120582

= 378 / 638

= 378

Step2:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

Step3:

LCM(2, 517) = 1034

GCD(2, 517) = ( 2 x 517 ) / 1034

= 2 / 517

= 2

So, Greatest Common Divisor of 378, 638, 840, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 533, 379, 693
• GCD of 609, 906, 739, 774
• GCD of 948, 264, 325, 805
• GCD of 462, 602, 920, 600
• GCD of 975, 152, 139, 436

Given numbers are 378, 638, 840, 517
The greatest common divisor of numbers 378, 638, 840, 517 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 638, 840, 517 is 1.

1. What is the GCD of 378, 638, 840, 517?

GCD of given numbers 378, 638, 840, 517 is 1

2. How to calculate the greatest common divisor of 378, 638, 840, 517?

We can find the highest common divisor of 378, 638, 840, 517 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 378, 638, 840, 517 i.e 1.

3. How can I use the GCD of 378, 638, 840, 517Calculator?

Out the numbers 378, 638, 840, 517 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.