GCD of 772, 670, 658, 500 Calculator

Given Input numbers are 772, 670, 658, 500

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 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (772, 670, 658, 500) = 2.

Given numbers are 772, 670, 658, 500

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 670 are 2 x 5 x 67

Prime factors of 658 are 2 x 7 x 47

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 772, 670, 658, 500 is 2.

Given numbers are 772, 670, 658, 500

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

Apply this formula for all numbers.

Step1:

LCM(772, 670) = 258620

GCD(772, 670) = ( 772 x 670 ) / 258620

= 772 / 670

= 772

Step2:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 772, 670, 658, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 772, 371, 682
• GCD of 744, 873, 270, 524
• GCD of 536, 605, 734, 627
• GCD of 923, 887, 236, 706
• GCD of 946, 319, 104, 594

Given numbers are 772, 670, 658, 500
The greatest common divisor of numbers 772, 670, 658, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 670, 658, 500 is 2.

1. What is the GCD of 772, 670, 658, 500?

GCD of given numbers 772, 670, 658, 500 is 2

2. How to calculate the greatest common divisor of 772, 670, 658, 500?

We can find the highest common divisor of 772, 670, 658, 500 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, 670, 658, 500 i.e 2.

3. How can I use the GCD of 772, 670, 658, 500Calculator?

Out the numbers 772, 670, 658, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.