GCD of 772, 812, 470, 916 Calculator

Given Input numbers are 772, 812, 470, 916

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

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (772, 812, 470, 916) = 2.

Given numbers are 772, 812, 470, 916

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 470 are 2 x 5 x 47

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 772, 812, 470, 916 is 2.

Given numbers are 772, 812, 470, 916

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

Apply this formula for all numbers.

Step1:

LCM(772, 812) = 156716

GCD(772, 812) = ( 772 x 812 ) / 156716

= 772 / 812

= 772

Step2:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 772, 812, 470, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 183, 920, 685
• GCD of 417, 726, 925, 436
• GCD of 657, 453, 198, 645
• GCD of 855, 877, 513, 464
• GCD of 722, 118, 640, 703

Given numbers are 772, 812, 470, 916
The greatest common divisor of numbers 772, 812, 470, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 812, 470, 916 is 2.

1. What is the GCD of 772, 812, 470, 916?

GCD of given numbers 772, 812, 470, 916 is 2

2. How to calculate the greatest common divisor of 772, 812, 470, 916?

We can find the highest common divisor of 772, 812, 470, 916 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 772, 812, 470, 916 i.e 2.

3. How can I use the GCD of 772, 812, 470, 916Calculator?

Out the numbers 772, 812, 470, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.