GCD of 770, 634, 488, 500 Calculator

Given Input numbers are 770, 634, 488, 500

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

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 (770, 634, 488, 500) = 2.

Given numbers are 770, 634, 488, 500

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 634 are 2 x 317

Prime factors of 488 are 2 x 2 x 2 x 61

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

The highest common occurrence is 2¹

Therefore, GCD of 770, 634, 488, 500 is 2.

Given numbers are 770, 634, 488, 500

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

Apply this formula for all numbers.

Step1:

LCM(770, 634) = 244090

GCD(770, 634) = ( 770 x 634 ) / 244090

= 770 / 634

= 770

Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

Step3:

LCM(2, 500) = 500

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

= 2 / 500

= 2

So, Greatest Common Divisor of 770, 634, 488, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 312, 764, 928
• GCD of 675, 562, 182, 512
• GCD of 630, 280, 846, 221
• GCD of 360, 369, 199, 526
• GCD of 775, 149, 413, 382

Given numbers are 770, 634, 488, 500
The greatest common divisor of numbers 770, 634, 488, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 634, 488, 500 is 2.

1. What is the GCD of 770, 634, 488, 500?

GCD of given numbers 770, 634, 488, 500 is 2

2. How to calculate the greatest common divisor of 770, 634, 488, 500?

We can find the highest common divisor of 770, 634, 488, 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 770, 634, 488, 500 i.e 2.

3. How can I use the GCD of 770, 634, 488, 500Calculator?

Out the numbers 770, 634, 488, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.