GCD of 316, 776, 770, 500 Calculator

Given Input numbers are 316, 776, 770, 500

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

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 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 (316, 776, 770, 500) = 2.

Given numbers are 316, 776, 770, 500

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 776 are 2 x 2 x 2 x 97

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

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

The highest common occurrence is 2¹

Therefore, GCD of 316, 776, 770, 500 is 2.

Given numbers are 316, 776, 770, 500

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

Apply this formula for all numbers.

Step1:

LCM(316, 776) = 61304

GCD(316, 776) = ( 316 x 776 ) / 61304

= 316 / 776

= 316

Step2:

LCM(4, 770) = 1540

GCD(4, 770) = ( 4 x 770 ) / 1540

= 4 / 770

= 4

Step3:

LCM(2, 500) = 500

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

= 2 / 500

= 2

So, Greatest Common Divisor of 316, 776, 770, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 683, 358, 155
• GCD of 579, 646, 839, 841
• GCD of 656, 437, 384, 235
• GCD of 702, 230, 578, 590
• GCD of 305, 120, 671, 373

Given numbers are 316, 776, 770, 500
The greatest common divisor of numbers 316, 776, 770, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 776, 770, 500 is 2.

1. What is the GCD of 316, 776, 770, 500?

GCD of given numbers 316, 776, 770, 500 is 2

2. How to calculate the greatest common divisor of 316, 776, 770, 500?

We can find the highest common divisor of 316, 776, 770, 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 316, 776, 770, 500 i.e 2.

3. How can I use the GCD of 316, 776, 770, 500Calculator?

Out the numbers 316, 776, 770, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.