GCD of 785, 146, 72, 828 Calculator

Given Input numbers are 785, 146, 72, 828

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

Divisors of 785 :

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

1, 5, 157, 785

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (785, 146, 72, 828) = 1.

Given numbers are 785, 146, 72, 828

The list of prime factors of all numbers are

Prime factors of 785 are 5 x 157

Prime factors of 146 are 2 x 73

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 785, 146, 72, 828

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

Apply this formula for all numbers.

Step1:

LCM(785, 146) = 114610

GCD(785, 146) = ( 785 x 146 ) / 114610

= 785 / 146

= 785

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 785, 146, 72, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 414, 31, 960
• GCD of 977, 485, 14, 607
• GCD of 398, 674, 84, 578
• GCD of 828, 323, 98, 257
• GCD of 157, 675, 81, 197

Given numbers are 785, 146, 72, 828
The greatest common divisor of numbers 785, 146, 72, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 146, 72, 828 is 1.

1. What is the GCD of 785, 146, 72, 828?

GCD of given numbers 785, 146, 72, 828 is 1

2. How to calculate the greatest common divisor of 785, 146, 72, 828?

We can find the highest common divisor of 785, 146, 72, 828 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 785, 146, 72, 828 i.e 1.

3. How can I use the GCD of 785, 146, 72, 828Calculator?

Out the numbers 785, 146, 72, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.