GCD of 814, 432, 262, 371 Calculator

Given Input numbers are 814, 432, 262, 371

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

GCD of numbers is the greatest common divisor

So, the GCD (814, 432, 262, 371) = 1.

Given numbers are 814, 432, 262, 371

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 262 are 2 x 131

Prime factors of 371 are 7 x 53

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

Given numbers are 814, 432, 262, 371

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

Apply this formula for all numbers.

Step1:

LCM(814, 432) = 175824

GCD(814, 432) = ( 814 x 432 ) / 175824

= 814 / 432

= 814

Step2:

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

= 2 / 262

= 2

Step3:

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

= 2 / 371

= 2

So, Greatest Common Divisor of 814, 432, 262, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 718, 330, 560
• GCD of 881, 859, 157, 649
• GCD of 788, 401, 347, 811
• GCD of 814, 983, 652, 876
• GCD of 257, 345, 230, 146

Given numbers are 814, 432, 262, 371
The greatest common divisor of numbers 814, 432, 262, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 432, 262, 371 is 1.

1. What is the GCD of 814, 432, 262, 371?

GCD of given numbers 814, 432, 262, 371 is 1

2. How to calculate the greatest common divisor of 814, 432, 262, 371?

We can find the highest common divisor of 814, 432, 262, 371 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, 432, 262, 371 i.e 1.

3. How can I use the GCD of 814, 432, 262, 371Calculator?

Out the numbers 814, 432, 262, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.