GCD of 814, 875, 342, 421 Calculator

Given Input numbers are 814, 875, 342, 421

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 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (814, 875, 342, 421) = 1.

Given numbers are 814, 875, 342, 421

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 421 are 421

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

Given numbers are 814, 875, 342, 421

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

Apply this formula for all numbers.

Step1:

LCM(814, 875) = 712250

GCD(814, 875) = ( 814 x 875 ) / 712250

= 814 / 875

= 814

Step2:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

So, Greatest Common Divisor of 814, 875, 342, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 112, 618, 629
• GCD of 308, 674, 371, 435
• GCD of 599, 883, 170, 245
• GCD of 125, 545, 603, 407
• GCD of 459, 783, 295, 125

Given numbers are 814, 875, 342, 421
The greatest common divisor of numbers 814, 875, 342, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 875, 342, 421 is 1.

1. What is the GCD of 814, 875, 342, 421?

GCD of given numbers 814, 875, 342, 421 is 1

2. How to calculate the greatest common divisor of 814, 875, 342, 421?

We can find the highest common divisor of 814, 875, 342, 421 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, 875, 342, 421 i.e 1.

3. How can I use the GCD of 814, 875, 342, 421Calculator?

Out the numbers 814, 875, 342, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.