GCD of 678, 856, 300, 357 Calculator

Given Input numbers are 678, 856, 300, 357

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 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (678, 856, 300, 357) = 1.

Given numbers are 678, 856, 300, 357

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 357 are 3 x 7 x 17

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

Given numbers are 678, 856, 300, 357

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

Apply this formula for all numbers.

Step1:

LCM(678, 856) = 290184

GCD(678, 856) = ( 678 x 856 ) / 290184

= 678 / 856

= 678

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

= 2 / 357

= 2

So, Greatest Common Divisor of 678, 856, 300, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 935, 640, 511
• GCD of 708, 581, 729, 456
• GCD of 562, 535, 448, 972
• GCD of 608, 946, 567, 239
• GCD of 869, 478, 159, 939

Given numbers are 678, 856, 300, 357
The greatest common divisor of numbers 678, 856, 300, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 856, 300, 357 is 1.

1. What is the GCD of 678, 856, 300, 357?

GCD of given numbers 678, 856, 300, 357 is 1

2. How to calculate the greatest common divisor of 678, 856, 300, 357?

We can find the highest common divisor of 678, 856, 300, 357 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, 856, 300, 357 i.e 1.

3. How can I use the GCD of 678, 856, 300, 357Calculator?

Out the numbers 678, 856, 300, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.