GCD of 725, 427, 830, 864 Calculator

Given Input numbers are 725, 427, 830, 864

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 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (725, 427, 830, 864) = 1.

Given numbers are 725, 427, 830, 864

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 427 are 7 x 61

Prime factors of 830 are 2 x 5 x 83

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 725, 427, 830, 864

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

Apply this formula for all numbers.

Step1:

LCM(725, 427) = 309575

GCD(725, 427) = ( 725 x 427 ) / 309575

= 725 / 427

= 725

Step2:

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

= 1 / 830

= 1

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 725, 427, 830, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 617, 623, 116
• GCD of 575, 939, 623, 607
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• GCD of 789, 373, 533, 307
• GCD of 985, 342, 236, 896

Given numbers are 725, 427, 830, 864
The greatest common divisor of numbers 725, 427, 830, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 427, 830, 864 is 1.

1. What is the GCD of 725, 427, 830, 864?

GCD of given numbers 725, 427, 830, 864 is 1

2. How to calculate the greatest common divisor of 725, 427, 830, 864?

We can find the highest common divisor of 725, 427, 830, 864 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, 427, 830, 864 i.e 1.

3. How can I use the GCD of 725, 427, 830, 864Calculator?

Out the numbers 725, 427, 830, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.