GCD of 686, 424, 121, 814 Calculator

Given Input numbers are 686, 424, 121, 814

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

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 (686, 424, 121, 814) = 1.

Given numbers are 686, 424, 121, 814

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 121 are 11 x 11

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 686, 424, 121, 814

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

Apply this formula for all numbers.

Step1:

LCM(686, 424) = 145432

GCD(686, 424) = ( 686 x 424 ) / 145432

= 686 / 424

= 686

Step2:

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

= 2 / 121

= 2

Step3:

LCM(1, 814) = 814

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

= 1 / 814

= 1

So, Greatest Common Divisor of 686, 424, 121, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 778, 225, 828
• GCD of 363, 402, 271, 921
• GCD of 285, 866, 105, 454
• GCD of 552, 396, 226, 694
• GCD of 517, 514, 929, 849

Given numbers are 686, 424, 121, 814
The greatest common divisor of numbers 686, 424, 121, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 424, 121, 814 is 1.

1. What is the GCD of 686, 424, 121, 814?

GCD of given numbers 686, 424, 121, 814 is 1

2. How to calculate the greatest common divisor of 686, 424, 121, 814?

We can find the highest common divisor of 686, 424, 121, 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 686, 424, 121, 814 i.e 1.

3. How can I use the GCD of 686, 424, 121, 814Calculator?

Out the numbers 686, 424, 121, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.