GCD of 764, 428, 800 Calculator

Given Input numbers are 764, 428, 800

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

Divisors of 764 :

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

1, 2, 4, 191, 382, 764

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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

GCD of numbers is the greatest common divisor

So, the GCD (764, 428, 800) = 4.

Given numbers are 764, 428, 800

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 428 are 2 x 2 x 107

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

The highest common occurrence is 2²

Therefore, GCD of 764, 428, 800 is 4.

Given numbers are 764, 428, 800

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

Apply this formula for all numbers.

Step1:

LCM(764, 428) = 81748

GCD(764, 428) = ( 764 x 428 ) / 81748

= 764 / 428

= 764

Step2:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

So, Greatest Common Divisor of 764, 428, 800 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 572, 338
• GCD of 340, 802, 111
• GCD of 804, 759, 843
• GCD of 830, 483, 821
• GCD of 841, 267, 530

Given numbers are 764, 428, 800
The greatest common divisor of numbers 764, 428, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 428, 800 is 4.

1. What is the GCD of 764, 428, 800?

GCD of given numbers 764, 428, 800 is 4

2. How to calculate the greatest common divisor of 764, 428, 800?

We can find the highest common divisor of 764, 428, 800 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 764, 428, 800 i.e 4.

3. How can I use the GCD of 764, 428, 800Calculator?

Out the numbers 764, 428, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.