GCD of 875, 345, 725, 814 Calculator

Given Input numbers are 875, 345, 725, 814

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

Divisors of 875 :

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

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

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 (875, 345, 725, 814) = 1.

Given numbers are 875, 345, 725, 814

The list of prime factors of all numbers are

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 725 are 5 x 5 x 29

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 875, 345, 725, 814

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

Apply this formula for all numbers.

Step1:

LCM(875, 345) = 60375

GCD(875, 345) = ( 875 x 345 ) / 60375

= 875 / 345

= 875

Step2:

LCM(5, 725) = 725

GCD(5, 725) = ( 5 x 725 ) / 725

= 5 / 725

= 5

Step3:

LCM(5, 814) = 4070

GCD(5, 814) = ( 5 x 814 ) / 4070

= 5 / 814

= 5

So, Greatest Common Divisor of 875, 345, 725, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 479, 221, 633
• GCD of 658, 693, 234, 884
• GCD of 278, 216, 771, 132
• GCD of 304, 903, 607, 367
• GCD of 706, 959, 257, 855

Given numbers are 875, 345, 725, 814
The greatest common divisor of numbers 875, 345, 725, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 345, 725, 814 is 1.

1. What is the GCD of 875, 345, 725, 814?

GCD of given numbers 875, 345, 725, 814 is 1

2. How to calculate the greatest common divisor of 875, 345, 725, 814?

We can find the highest common divisor of 875, 345, 725, 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 875, 345, 725, 814 i.e 1.

3. How can I use the GCD of 875, 345, 725, 814Calculator?

Out the numbers 875, 345, 725, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.