GCD of 349, 614, 180, 563 Calculator

Given Input numbers are 349, 614, 180, 563

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 614 :

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

1, 2, 307, 614

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 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

GCD of numbers is the greatest common divisor

So, the GCD (349, 614, 180, 563) = 1.

Given numbers are 349, 614, 180, 563

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 614 are 2 x 307

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

Prime factors of 563 are 563

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

Given numbers are 349, 614, 180, 563

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

Apply this formula for all numbers.

Step1:

LCM(349, 614) = 214286

GCD(349, 614) = ( 349 x 614 ) / 214286

= 349 / 614

= 349

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

= 1 / 563

= 1

So, Greatest Common Divisor of 349, 614, 180, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 211, 202, 857
• GCD of 519, 496, 250, 679
• GCD of 283, 242, 369, 940
• GCD of 908, 850, 476, 488
• GCD of 750, 970, 811, 581

Given numbers are 349, 614, 180, 563
The greatest common divisor of numbers 349, 614, 180, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 614, 180, 563 is 1.

1. What is the GCD of 349, 614, 180, 563?

GCD of given numbers 349, 614, 180, 563 is 1

2. How to calculate the greatest common divisor of 349, 614, 180, 563?

We can find the highest common divisor of 349, 614, 180, 563 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 349, 614, 180, 563 i.e 1.

3. How can I use the GCD of 349, 614, 180, 563Calculator?

Out the numbers 349, 614, 180, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.