GCD of 830, 355, 312, 772 Calculator

Given Input numbers are 830, 355, 312, 772

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

Divisors of 830 :

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

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (830, 355, 312, 772) = 1.

Given numbers are 830, 355, 312, 772

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 355 are 5 x 71

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 772 are 2 x 2 x 193

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

Given numbers are 830, 355, 312, 772

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

Apply this formula for all numbers.

Step1:

LCM(830, 355) = 58930

GCD(830, 355) = ( 830 x 355 ) / 58930

= 830 / 355

= 830

Step2:

LCM(5, 312) = 1560

GCD(5, 312) = ( 5 x 312 ) / 1560

= 5 / 312

= 5

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 830, 355, 312, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 493, 867, 924
• GCD of 776, 484, 252, 146
• GCD of 233, 237, 157, 311
• GCD of 952, 445, 537, 127
• GCD of 629, 151, 518, 182

Given numbers are 830, 355, 312, 772
The greatest common divisor of numbers 830, 355, 312, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 355, 312, 772 is 1.

1. What is the GCD of 830, 355, 312, 772?

GCD of given numbers 830, 355, 312, 772 is 1

2. How to calculate the greatest common divisor of 830, 355, 312, 772?

We can find the highest common divisor of 830, 355, 312, 772 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 830, 355, 312, 772 i.e 1.

3. How can I use the GCD of 830, 355, 312, 772Calculator?

Out the numbers 830, 355, 312, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.