GCD of 800, 400, 740, 764 Calculator

Given Input numbers are 800, 400, 740, 764

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

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (800, 400, 740, 764) = 4.

Given numbers are 800, 400, 740, 764

The list of prime factors of all numbers are

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2²

Therefore, GCD of 800, 400, 740, 764 is 4.

Given numbers are 800, 400, 740, 764

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

Apply this formula for all numbers.

Step1:

LCM(800, 400) = 800

GCD(800, 400) = ( 800 x 400 ) / 800

= 800 / 400

= 800

Step2:

LCM(400, 740) = 14800

GCD(400, 740) = ( 400 x 740 ) / 14800

= 400 / 740

= 400

Step3:

LCM(20, 764) = 3820

GCD(20, 764) = ( 20 x 764 ) / 3820

= 20 / 764

= 20

So, Greatest Common Divisor of 800, 400, 740, 764 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 244, 765, 808
• GCD of 467, 376, 689, 621
• GCD of 800, 685, 874, 729
• GCD of 649, 757, 424, 692
• GCD of 350, 926, 683, 643

Given numbers are 800, 400, 740, 764
The greatest common divisor of numbers 800, 400, 740, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 400, 740, 764 is 4.

1. What is the GCD of 800, 400, 740, 764?

GCD of given numbers 800, 400, 740, 764 is 4

2. How to calculate the greatest common divisor of 800, 400, 740, 764?

We can find the highest common divisor of 800, 400, 740, 764 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 800, 400, 740, 764 i.e 4.

3. How can I use the GCD of 800, 400, 740, 764Calculator?

Out the numbers 800, 400, 740, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.