GCD of 820, 800, 766, 944 Calculator

Given Input numbers are 820, 800, 766, 944

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

GCD of numbers is the greatest common divisor

So, the GCD (820, 800, 766, 944) = 2.

Given numbers are 820, 800, 766, 944

The list of prime factors of all numbers are

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

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 766 are 2 x 383

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 820, 800, 766, 944 is 2.

Given numbers are 820, 800, 766, 944

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

Apply this formula for all numbers.

Step1:

LCM(820, 800) = 32800

GCD(820, 800) = ( 820 x 800 ) / 32800

= 820 / 800

= 820

Step2:

LCM(20, 766) = 7660

GCD(20, 766) = ( 20 x 766 ) / 7660

= 20 / 766

= 20

Step3:

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

= 2 / 944

= 2

So, Greatest Common Divisor of 820, 800, 766, 944 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 268, 908, 873
• GCD of 988, 256, 538, 389
• GCD of 584, 393, 663, 748
• GCD of 268, 334, 586, 791
• GCD of 744, 263, 984, 673

Given numbers are 820, 800, 766, 944
The greatest common divisor of numbers 820, 800, 766, 944 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 800, 766, 944 is 2.

1. What is the GCD of 820, 800, 766, 944?

GCD of given numbers 820, 800, 766, 944 is 2

2. How to calculate the greatest common divisor of 820, 800, 766, 944?

We can find the highest common divisor of 820, 800, 766, 944 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, 800, 766, 944 i.e 2.

3. How can I use the GCD of 820, 800, 766, 944Calculator?

Out the numbers 820, 800, 766, 944 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.