GCD of 789, 850, 10, 214 Calculator

Given Input numbers are 789, 850, 10, 214

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

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 10 :

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

1, 2, 5, 10

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (789, 850, 10, 214) = 1.

Given numbers are 789, 850, 10, 214

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

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

Prime factors of 10 are 2 x 5

Prime factors of 214 are 2 x 107

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

Given numbers are 789, 850, 10, 214

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

Apply this formula for all numbers.

Step1:

LCM(789, 850) = 670650

GCD(789, 850) = ( 789 x 850 ) / 670650

= 789 / 850

= 789

Step2:

LCM(1, 10) = 10

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

= 1 / 10

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 789, 850, 10, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 184, 81, 885
• GCD of 670, 641, 79, 394
• GCD of 661, 778, 61, 507
• GCD of 884, 246, 95, 148
• GCD of 266, 297, 28, 435

Given numbers are 789, 850, 10, 214
The greatest common divisor of numbers 789, 850, 10, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 850, 10, 214 is 1.

1. What is the GCD of 789, 850, 10, 214?

GCD of given numbers 789, 850, 10, 214 is 1

2. How to calculate the greatest common divisor of 789, 850, 10, 214?

We can find the highest common divisor of 789, 850, 10, 214 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 789, 850, 10, 214 i.e 1.

3. How can I use the GCD of 789, 850, 10, 214Calculator?

Out the numbers 789, 850, 10, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.