GCD of 782, 676, 712, 600 Calculator

Given Input numbers are 782, 676, 712, 600

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (782, 676, 712, 600) = 2.

Given numbers are 782, 676, 712, 600

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 782, 676, 712, 600 is 2.

Given numbers are 782, 676, 712, 600

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

Apply this formula for all numbers.

Step1:

LCM(782, 676) = 264316

GCD(782, 676) = ( 782 x 676 ) / 264316

= 782 / 676

= 782

Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 782, 676, 712, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 323, 215, 906
• GCD of 905, 640, 795, 318
• GCD of 989, 348, 129, 395
• GCD of 512, 177, 197, 686
• GCD of 255, 689, 567, 129

Given numbers are 782, 676, 712, 600
The greatest common divisor of numbers 782, 676, 712, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 676, 712, 600 is 2.

1. What is the GCD of 782, 676, 712, 600?

GCD of given numbers 782, 676, 712, 600 is 2

2. How to calculate the greatest common divisor of 782, 676, 712, 600?

We can find the highest common divisor of 782, 676, 712, 600 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 782, 676, 712, 600 i.e 2.

3. How can I use the GCD of 782, 676, 712, 600Calculator?

Out the numbers 782, 676, 712, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.