GCD of 561, 361, 614, 671 Calculator

Given Input numbers are 561, 361, 614, 671

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

Divisors of 561 :

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

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

GCD of numbers is the greatest common divisor

So, the GCD (561, 361, 614, 671) = 1.

Given numbers are 561, 361, 614, 671

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 361 are 19 x 19

Prime factors of 614 are 2 x 307

Prime factors of 671 are 11 x 61

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

Given numbers are 561, 361, 614, 671

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

Apply this formula for all numbers.

Step1:

LCM(561, 361) = 202521

GCD(561, 361) = ( 561 x 361 ) / 202521

= 561 / 361

= 561

Step2:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1

Step3:

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

= 1 / 671

= 1

So, Greatest Common Divisor of 561, 361, 614, 671 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 403, 690, 350
• GCD of 884, 972, 519, 245
• GCD of 230, 229, 651, 475
• GCD of 976, 307, 522, 598
• GCD of 502, 379, 565, 151

Given numbers are 561, 361, 614, 671
The greatest common divisor of numbers 561, 361, 614, 671 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 361, 614, 671 is 1.

1. What is the GCD of 561, 361, 614, 671?

GCD of given numbers 561, 361, 614, 671 is 1

2. How to calculate the greatest common divisor of 561, 361, 614, 671?

We can find the highest common divisor of 561, 361, 614, 671 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 561, 361, 614, 671 i.e 1.

3. How can I use the GCD of 561, 361, 614, 671Calculator?

Out the numbers 561, 361, 614, 671 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.