GCD of 986, 253, 743, 814 Calculator

Given Input numbers are 986, 253, 743, 814

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

Divisors of 986 :

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

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

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 814 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (986, 253, 743, 814) = 1.

Given numbers are 986, 253, 743, 814

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 253 are 11 x 23

Prime factors of 743 are 743

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 986, 253, 743, 814

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

Apply this formula for all numbers.

Step1:

LCM(986, 253) = 249458

GCD(986, 253) = ( 986 x 253 ) / 249458

= 986 / 253

= 986

Step2:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 986, 253, 743, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 989, 127, 366
• GCD of 124, 975, 557, 174
• GCD of 313, 212, 318, 227
• GCD of 993, 921, 852, 664
• GCD of 700, 780, 710, 624

Given numbers are 986, 253, 743, 814
The greatest common divisor of numbers 986, 253, 743, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 253, 743, 814 is 1.

1. What is the GCD of 986, 253, 743, 814?

GCD of given numbers 986, 253, 743, 814 is 1

2. How to calculate the greatest common divisor of 986, 253, 743, 814?

We can find the highest common divisor of 986, 253, 743, 814 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 986, 253, 743, 814 i.e 1.

3. How can I use the GCD of 986, 253, 743, 814Calculator?

Out the numbers 986, 253, 743, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.