GCD of 849, 762, 309, 422 Calculator

Given Input numbers are 849, 762, 309, 422

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 422 :

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

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (849, 762, 309, 422) = 1.

Given numbers are 849, 762, 309, 422

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 762 are 2 x 3 x 127

Prime factors of 309 are 3 x 103

Prime factors of 422 are 2 x 211

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

Given numbers are 849, 762, 309, 422

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

Apply this formula for all numbers.

Step1:

LCM(849, 762) = 215646

GCD(849, 762) = ( 849 x 762 ) / 215646

= 849 / 762

= 849

Step2:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

Step3:

LCM(3, 422) = 1266

GCD(3, 422) = ( 3 x 422 ) / 1266

= 3 / 422

= 3

So, Greatest Common Divisor of 849, 762, 309, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 591, 242, 618
• GCD of 929, 209, 530, 622
• GCD of 674, 800, 274, 908
• GCD of 726, 269, 437, 738
• GCD of 255, 163, 224, 187

Given numbers are 849, 762, 309, 422
The greatest common divisor of numbers 849, 762, 309, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 762, 309, 422 is 1.

1. What is the GCD of 849, 762, 309, 422?

GCD of given numbers 849, 762, 309, 422 is 1

2. How to calculate the greatest common divisor of 849, 762, 309, 422?

We can find the highest common divisor of 849, 762, 309, 422 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 849, 762, 309, 422 i.e 1.

3. How can I use the GCD of 849, 762, 309, 422Calculator?

Out the numbers 849, 762, 309, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.