GCD of 309, 221, 422, 674 Calculator

Given Input numbers are 309, 221, 422, 674

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 674 :

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

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (309, 221, 422, 674) = 1.

Given numbers are 309, 221, 422, 674

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 221 are 13 x 17

Prime factors of 422 are 2 x 211

Prime factors of 674 are 2 x 337

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

Given numbers are 309, 221, 422, 674

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

Apply this formula for all numbers.

Step1:

LCM(309, 221) = 68289

GCD(309, 221) = ( 309 x 221 ) / 68289

= 309 / 221

= 309

Step2:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

Step3:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

So, Greatest Common Divisor of 309, 221, 422, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 202, 500, 120
• GCD of 421, 985, 335, 403
• GCD of 410, 394, 978, 232
• GCD of 140, 312, 862, 460
• GCD of 951, 934, 531, 137

Given numbers are 309, 221, 422, 674
The greatest common divisor of numbers 309, 221, 422, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 221, 422, 674 is 1.

1. What is the GCD of 309, 221, 422, 674?

GCD of given numbers 309, 221, 422, 674 is 1

2. How to calculate the greatest common divisor of 309, 221, 422, 674?

We can find the highest common divisor of 309, 221, 422, 674 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 309, 221, 422, 674 i.e 1.

3. How can I use the GCD of 309, 221, 422, 674Calculator?

Out the numbers 309, 221, 422, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.