GCD of 788, 492, 78, 724 Calculator

Given Input numbers are 788, 492, 78, 724

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (788, 492, 78, 724) = 2.

Given numbers are 788, 492, 78, 724

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 78 are 2 x 3 x 13

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 788, 492, 78, 724 is 2.

Given numbers are 788, 492, 78, 724

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

Apply this formula for all numbers.

Step1:

LCM(788, 492) = 96924

GCD(788, 492) = ( 788 x 492 ) / 96924

= 788 / 492

= 788

Step2:

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

= 4 / 78

= 4

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 788, 492, 78, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 361, 15, 834
• GCD of 133, 207, 25, 190
• GCD of 171, 687, 20, 552
• GCD of 569, 265, 45, 462
• GCD of 501, 745, 47, 216

Given numbers are 788, 492, 78, 724
The greatest common divisor of numbers 788, 492, 78, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 492, 78, 724 is 2.

1. What is the GCD of 788, 492, 78, 724?

GCD of given numbers 788, 492, 78, 724 is 2

2. How to calculate the greatest common divisor of 788, 492, 78, 724?

We can find the highest common divisor of 788, 492, 78, 724 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 788, 492, 78, 724 i.e 2.

3. How can I use the GCD of 788, 492, 78, 724Calculator?

Out the numbers 788, 492, 78, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.