GCD of 725, 429, 207, 814 Calculator

Given Input numbers are 725, 429, 207, 814

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

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 (725, 429, 207, 814) = 1.

Given numbers are 725, 429, 207, 814

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 429 are 3 x 11 x 13

Prime factors of 207 are 3 x 3 x 23

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 725, 429, 207, 814

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

Apply this formula for all numbers.

Step1:

LCM(725, 429) = 311025

GCD(725, 429) = ( 725 x 429 ) / 311025

= 725 / 429

= 725

Step2:

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

= 1 / 207

= 1

Step3:

LCM(1, 814) = 814

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

= 1 / 814

= 1

So, Greatest Common Divisor of 725, 429, 207, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 941, 916, 204
• GCD of 885, 111, 124, 176
• GCD of 876, 498, 812, 349
• GCD of 210, 792, 134, 400
• GCD of 111, 913, 819, 212

Given numbers are 725, 429, 207, 814
The greatest common divisor of numbers 725, 429, 207, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 429, 207, 814 is 1.

1. What is the GCD of 725, 429, 207, 814?

GCD of given numbers 725, 429, 207, 814 is 1

2. How to calculate the greatest common divisor of 725, 429, 207, 814?

We can find the highest common divisor of 725, 429, 207, 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 725, 429, 207, 814 i.e 1.

3. How can I use the GCD of 725, 429, 207, 814Calculator?

Out the numbers 725, 429, 207, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.