GCD of 678, 772, 559, 378 Calculator

Given Input numbers are 678, 772, 559, 378

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

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

GCD of numbers is the greatest common divisor

So, the GCD (678, 772, 559, 378) = 1.

Given numbers are 678, 772, 559, 378

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 772 are 2 x 2 x 193

Prime factors of 559 are 13 x 43

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

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

Given numbers are 678, 772, 559, 378

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

Apply this formula for all numbers.

Step1:

LCM(678, 772) = 261708

GCD(678, 772) = ( 678 x 772 ) / 261708

= 678 / 772

= 678

Step2:

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

= 2 / 559

= 2

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 678, 772, 559, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 947, 401, 159
• GCD of 177, 766, 142, 440
• GCD of 869, 313, 474, 985
• GCD of 171, 517, 799, 165
• GCD of 375, 579, 532, 931

Given numbers are 678, 772, 559, 378
The greatest common divisor of numbers 678, 772, 559, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 772, 559, 378 is 1.

1. What is the GCD of 678, 772, 559, 378?

GCD of given numbers 678, 772, 559, 378 is 1

2. How to calculate the greatest common divisor of 678, 772, 559, 378?

We can find the highest common divisor of 678, 772, 559, 378 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 678, 772, 559, 378 i.e 1.

3. How can I use the GCD of 678, 772, 559, 378Calculator?

Out the numbers 678, 772, 559, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.