GCD of 825, 314, 427, 785 Calculator

Given Input numbers are 825, 314, 427, 785

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 427 :

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

1, 7, 61, 427

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

GCD of numbers is the greatest common divisor

So, the GCD (825, 314, 427, 785) = 1.

Given numbers are 825, 314, 427, 785

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 314 are 2 x 157

Prime factors of 427 are 7 x 61

Prime factors of 785 are 5 x 157

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

Given numbers are 825, 314, 427, 785

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

Apply this formula for all numbers.

Step1:

LCM(825, 314) = 259050

GCD(825, 314) = ( 825 x 314 ) / 259050

= 825 / 314

= 825

Step2:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1

Step3:

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

= 1 / 785

= 1

So, Greatest Common Divisor of 825, 314, 427, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 792, 825, 357
• GCD of 263, 592, 369, 529
• GCD of 623, 412, 179, 196
• GCD of 602, 892, 369, 288
• GCD of 893, 577, 221, 675

Given numbers are 825, 314, 427, 785
The greatest common divisor of numbers 825, 314, 427, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 314, 427, 785 is 1.

1. What is the GCD of 825, 314, 427, 785?

GCD of given numbers 825, 314, 427, 785 is 1

2. How to calculate the greatest common divisor of 825, 314, 427, 785?

We can find the highest common divisor of 825, 314, 427, 785 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 825, 314, 427, 785 i.e 1.

3. How can I use the GCD of 825, 314, 427, 785Calculator?

Out the numbers 825, 314, 427, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.