GCD of 678, 398, 72, 577 Calculator

Given Input numbers are 678, 398, 72, 577

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

GCD of numbers is the greatest common divisor

So, the GCD (678, 398, 72, 577) = 1.

Given numbers are 678, 398, 72, 577

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 398 are 2 x 199

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 577 are 577

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

Given numbers are 678, 398, 72, 577

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

Apply this formula for all numbers.

Step1:

LCM(678, 398) = 134922

GCD(678, 398) = ( 678 x 398 ) / 134922

= 678 / 398

= 678

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

= 2 / 577

= 2

So, Greatest Common Divisor of 678, 398, 72, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 647, 89, 405
• GCD of 197, 679, 24, 226
• GCD of 252, 189, 51, 330
• GCD of 350, 628, 76, 684
• GCD of 723, 684, 71, 739

Given numbers are 678, 398, 72, 577
The greatest common divisor of numbers 678, 398, 72, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 398, 72, 577 is 1.

1. What is the GCD of 678, 398, 72, 577?

GCD of given numbers 678, 398, 72, 577 is 1

2. How to calculate the greatest common divisor of 678, 398, 72, 577?

We can find the highest common divisor of 678, 398, 72, 577 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, 398, 72, 577 i.e 1.

3. How can I use the GCD of 678, 398, 72, 577Calculator?

Out the numbers 678, 398, 72, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.