GCD of 820, 756, 718, 236 Calculator

Given Input numbers are 820, 756, 718, 236

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

GCD of numbers is the greatest common divisor

So, the GCD (820, 756, 718, 236) = 2.

Given numbers are 820, 756, 718, 236

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 718 are 2 x 359

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 820, 756, 718, 236 is 2.

Given numbers are 820, 756, 718, 236

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

Apply this formula for all numbers.

Step1:

LCM(820, 756) = 154980

GCD(820, 756) = ( 820 x 756 ) / 154980

= 820 / 756

= 820

Step2:

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

= 4 / 718

= 4

Step3:

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

= 2 / 236

= 2

So, Greatest Common Divisor of 820, 756, 718, 236 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 813, 713, 300
• GCD of 404, 270, 107, 198
• GCD of 455, 184, 159, 769
• GCD of 273, 199, 721, 622
• GCD of 622, 296, 369, 586

Given numbers are 820, 756, 718, 236
The greatest common divisor of numbers 820, 756, 718, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 756, 718, 236 is 2.

1. What is the GCD of 820, 756, 718, 236?

GCD of given numbers 820, 756, 718, 236 is 2

2. How to calculate the greatest common divisor of 820, 756, 718, 236?

We can find the highest common divisor of 820, 756, 718, 236 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 820, 756, 718, 236 i.e 2.

3. How can I use the GCD of 820, 756, 718, 236Calculator?

Out the numbers 820, 756, 718, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.