GCD of 850, 309, 10, 986 Calculator

Given Input numbers are 850, 309, 10, 986

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

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

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 (850, 309, 10, 986) = 1.

Given numbers are 850, 309, 10, 986

The list of prime factors of all numbers are

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 309 are 3 x 103

Prime factors of 10 are 2 x 5

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 850, 309, 10, 986

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

Apply this formula for all numbers.

Step1:

LCM(850, 309) = 262650

GCD(850, 309) = ( 850 x 309 ) / 262650

= 850 / 309

= 850

Step2:

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

= 1 / 10

= 1

Step3:

LCM(1, 986) = 986

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

= 1 / 986

= 1

So, Greatest Common Divisor of 850, 309, 10, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 736, 16, 689
• GCD of 253, 954, 14, 306
• GCD of 350, 656, 23, 925
• GCD of 622, 660, 14, 610
• GCD of 557, 320, 74, 942

Given numbers are 850, 309, 10, 986
The greatest common divisor of numbers 850, 309, 10, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 309, 10, 986 is 1.

1. What is the GCD of 850, 309, 10, 986?

GCD of given numbers 850, 309, 10, 986 is 1

2. How to calculate the greatest common divisor of 850, 309, 10, 986?

We can find the highest common divisor of 850, 309, 10, 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 850, 309, 10, 986 i.e 1.

3. How can I use the GCD of 850, 309, 10, 986Calculator?

Out the numbers 850, 309, 10, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.