GCD of 378, 862, 509, 367 Calculator

Given Input numbers are 378, 862, 509, 367

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 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

GCD of numbers is the greatest common divisor

So, the GCD (378, 862, 509, 367) = 1.

Given numbers are 378, 862, 509, 367

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 862 are 2 x 431

Prime factors of 509 are 509

Prime factors of 367 are 367

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

Given numbers are 378, 862, 509, 367

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

Apply this formula for all numbers.

Step1:

LCM(378, 862) = 162918

GCD(378, 862) = ( 378 x 862 ) / 162918

= 378 / 862

= 378

Step2:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

Step3:

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

= 1 / 367

= 1

So, Greatest Common Divisor of 378, 862, 509, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 763, 443, 832
• GCD of 694, 401, 536, 634
• GCD of 672, 517, 489, 113
• GCD of 142, 760, 514, 566
• GCD of 885, 860, 131, 848

Given numbers are 378, 862, 509, 367
The greatest common divisor of numbers 378, 862, 509, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 862, 509, 367 is 1.

1. What is the GCD of 378, 862, 509, 367?

GCD of given numbers 378, 862, 509, 367 is 1

2. How to calculate the greatest common divisor of 378, 862, 509, 367?

We can find the highest common divisor of 378, 862, 509, 367 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, 862, 509, 367 i.e 1.

3. How can I use the GCD of 378, 862, 509, 367Calculator?

Out the numbers 378, 862, 509, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.