GCD of 814, 982, 16, 425 Calculator

Given Input numbers are 814, 982, 16, 425

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

GCD of numbers is the greatest common divisor

So, the GCD (814, 982, 16, 425) = 1.

Given numbers are 814, 982, 16, 425

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 982 are 2 x 491

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 425 are 5 x 5 x 17

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

Given numbers are 814, 982, 16, 425

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

Apply this formula for all numbers.

Step1:

LCM(814, 982) = 399674

GCD(814, 982) = ( 814 x 982 ) / 399674

= 814 / 982

= 814

Step2:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2

Step3:

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

= 2 / 425

= 2

So, Greatest Common Divisor of 814, 982, 16, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 568, 65, 742
• GCD of 928, 380, 48, 318
• GCD of 994, 612, 42, 985
• GCD of 821, 857, 87, 252
• GCD of 887, 811, 89, 460

Given numbers are 814, 982, 16, 425
The greatest common divisor of numbers 814, 982, 16, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 982, 16, 425 is 1.

1. What is the GCD of 814, 982, 16, 425?

GCD of given numbers 814, 982, 16, 425 is 1

2. How to calculate the greatest common divisor of 814, 982, 16, 425?

We can find the highest common divisor of 814, 982, 16, 425 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 814, 982, 16, 425 i.e 1.

3. How can I use the GCD of 814, 982, 16, 425Calculator?

Out the numbers 814, 982, 16, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.