GCD of 674, 180, 764, 561 Calculator

Given Input numbers are 674, 180, 764, 561

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (674, 180, 764, 561) = 1.

Given numbers are 674, 180, 764, 561

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 561 are 3 x 11 x 17

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

Given numbers are 674, 180, 764, 561

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

Apply this formula for all numbers.

Step1:

LCM(674, 180) = 60660

GCD(674, 180) = ( 674 x 180 ) / 60660

= 674 / 180

= 674

Step2:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

Step3:

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

= 2 / 561

= 2

So, Greatest Common Divisor of 674, 180, 764, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 367, 265, 252
• GCD of 490, 816, 140, 722
• GCD of 930, 762, 497, 234
• GCD of 304, 257, 963, 720
• GCD of 849, 579, 355, 440

Given numbers are 674, 180, 764, 561
The greatest common divisor of numbers 674, 180, 764, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 180, 764, 561 is 1.

1. What is the GCD of 674, 180, 764, 561?

GCD of given numbers 674, 180, 764, 561 is 1

2. How to calculate the greatest common divisor of 674, 180, 764, 561?

We can find the highest common divisor of 674, 180, 764, 561 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 674, 180, 764, 561 i.e 1.

3. How can I use the GCD of 674, 180, 764, 561Calculator?

Out the numbers 674, 180, 764, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.