GCD of 814, 697, 142, 362 Calculator

Given Input numbers are 814, 697, 142, 362

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 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (814, 697, 142, 362) = 1.

Given numbers are 814, 697, 142, 362

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 697 are 17 x 41

Prime factors of 142 are 2 x 71

Prime factors of 362 are 2 x 181

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

Given numbers are 814, 697, 142, 362

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

Apply this formula for all numbers.

Step1:

LCM(814, 697) = 567358

GCD(814, 697) = ( 814 x 697 ) / 567358

= 814 / 697

= 814

Step2:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

So, Greatest Common Divisor of 814, 697, 142, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 383, 250, 259
• GCD of 678, 395, 380, 580
• GCD of 120, 607, 264, 229
• GCD of 640, 443, 448, 256
• GCD of 631, 562, 484, 123

Given numbers are 814, 697, 142, 362
The greatest common divisor of numbers 814, 697, 142, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 697, 142, 362 is 1.

1. What is the GCD of 814, 697, 142, 362?

GCD of given numbers 814, 697, 142, 362 is 1

2. How to calculate the greatest common divisor of 814, 697, 142, 362?

We can find the highest common divisor of 814, 697, 142, 362 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, 697, 142, 362 i.e 1.

3. How can I use the GCD of 814, 697, 142, 362Calculator?

Out the numbers 814, 697, 142, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.