GCD of 180, 560, 493, 678 Calculator

Given Input numbers are 180, 560, 493, 678

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 678 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (180, 560, 493, 678) = 1.

Given numbers are 180, 560, 493, 678

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 493 are 17 x 29

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 180, 560, 493, 678

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

Apply this formula for all numbers.

Step1:

LCM(180, 560) = 5040

GCD(180, 560) = ( 180 x 560 ) / 5040

= 180 / 560

= 180

Step2:

LCM(20, 493) = 9860

GCD(20, 493) = ( 20 x 493 ) / 9860

= 20 / 493

= 20

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 180, 560, 493, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 520, 333, 292
• GCD of 714, 751, 581, 959
• GCD of 861, 355, 425, 929
• GCD of 954, 512, 349, 399
• GCD of 922, 680, 249, 377

Given numbers are 180, 560, 493, 678
The greatest common divisor of numbers 180, 560, 493, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 560, 493, 678 is 1.

1. What is the GCD of 180, 560, 493, 678?

GCD of given numbers 180, 560, 493, 678 is 1

2. How to calculate the greatest common divisor of 180, 560, 493, 678?

We can find the highest common divisor of 180, 560, 493, 678 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 180, 560, 493, 678 i.e 1.

3. How can I use the GCD of 180, 560, 493, 678Calculator?

Out the numbers 180, 560, 493, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.