GCD of 678, 420, 46, 791 Calculator

Given Input numbers are 678, 420, 46, 791

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

GCD of numbers is the greatest common divisor

So, the GCD (678, 420, 46, 791) = 1.

Given numbers are 678, 420, 46, 791

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 46 are 2 x 23

Prime factors of 791 are 7 x 113

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

Given numbers are 678, 420, 46, 791

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

Apply this formula for all numbers.

Step1:

LCM(678, 420) = 47460

GCD(678, 420) = ( 678 x 420 ) / 47460

= 678 / 420

= 678

Step2:

LCM(6, 46) = 138

GCD(6, 46) = ( 6 x 46 ) / 138

= 6 / 46

= 6

Step3:

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

= 2 / 791

= 2

So, Greatest Common Divisor of 678, 420, 46, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 467, 50, 412
• GCD of 677, 263, 36, 254
• GCD of 483, 644, 57, 172
• GCD of 167, 462, 12, 928
• GCD of 961, 772, 29, 575

Given numbers are 678, 420, 46, 791
The greatest common divisor of numbers 678, 420, 46, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 420, 46, 791 is 1.

1. What is the GCD of 678, 420, 46, 791?

GCD of given numbers 678, 420, 46, 791 is 1

2. How to calculate the greatest common divisor of 678, 420, 46, 791?

We can find the highest common divisor of 678, 420, 46, 791 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, 420, 46, 791 i.e 1.

3. How can I use the GCD of 678, 420, 46, 791Calculator?

Out the numbers 678, 420, 46, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.