GCD of 825, 415, 714, 736 Calculator

Given Input numbers are 825, 415, 714, 736

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 415 :

The positive integer divisors of 415 that completely divides 415 are.

1, 5, 83, 415

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

GCD of numbers is the greatest common divisor

So, the GCD (825, 415, 714, 736) = 1.

Given numbers are 825, 415, 714, 736

The list of prime factors of all numbers are

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

Prime factors of 415 are 5 x 83

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

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

Given numbers are 825, 415, 714, 736

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

Apply this formula for all numbers.

Step1:

LCM(825, 415) = 68475

GCD(825, 415) = ( 825 x 415 ) / 68475

= 825 / 415

= 825

Step2:

LCM(5, 714) = 3570

GCD(5, 714) = ( 5 x 714 ) / 3570

= 5 / 714

= 5

Step3:

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

= 1 / 736

= 1

So, Greatest Common Divisor of 825, 415, 714, 736 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 678, 692, 868
• GCD of 812, 223, 669, 120
• GCD of 619, 797, 185, 363
• GCD of 834, 732, 345, 905
• GCD of 204, 793, 281, 411

Given numbers are 825, 415, 714, 736
The greatest common divisor of numbers 825, 415, 714, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 415, 714, 736 is 1.

1. What is the GCD of 825, 415, 714, 736?

GCD of given numbers 825, 415, 714, 736 is 1

2. How to calculate the greatest common divisor of 825, 415, 714, 736?

We can find the highest common divisor of 825, 415, 714, 736 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, 415, 714, 736 i.e 1.

3. How can I use the GCD of 825, 415, 714, 736Calculator?

Out the numbers 825, 415, 714, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.