GCD of 309, 357, 647, 986 Calculator

Given Input numbers are 309, 357, 647, 986

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 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 647 :

The positive integer divisors of 647 that completely divides 647 are.

1, 647

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (309, 357, 647, 986) = 1.

Given numbers are 309, 357, 647, 986

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 357 are 3 x 7 x 17

Prime factors of 647 are 647

Prime factors of 986 are 2 x 17 x 29

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

Given numbers are 309, 357, 647, 986

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

Apply this formula for all numbers.

Step1:

LCM(309, 357) = 36771

GCD(309, 357) = ( 309 x 357 ) / 36771

= 309 / 357

= 309

Step2:

LCM(3, 647) = 1941

GCD(3, 647) = ( 3 x 647 ) / 1941

= 3 / 647

= 3

Step3:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1

So, Greatest Common Divisor of 309, 357, 647, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 613, 493, 834
• GCD of 171, 661, 500, 121
• GCD of 916, 375, 675, 513
• GCD of 260, 838, 681, 990
• GCD of 372, 644, 423, 321

Given numbers are 309, 357, 647, 986
The greatest common divisor of numbers 309, 357, 647, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 357, 647, 986 is 1.

1. What is the GCD of 309, 357, 647, 986?

GCD of given numbers 309, 357, 647, 986 is 1

2. How to calculate the greatest common divisor of 309, 357, 647, 986?

We can find the highest common divisor of 309, 357, 647, 986 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, 357, 647, 986 i.e 1.

3. How can I use the GCD of 309, 357, 647, 986Calculator?

Out the numbers 309, 357, 647, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.