GCD of 644, 142, 802, 800 Calculator

Given Input numbers are 644, 142, 802, 800

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

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 (644, 142, 802, 800) = 2.

Given numbers are 644, 142, 802, 800

The list of prime factors of all numbers are

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 142 are 2 x 71

Prime factors of 802 are 2 x 401

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

The highest common occurrence is 2¹

Therefore, GCD of 644, 142, 802, 800 is 2.

Given numbers are 644, 142, 802, 800

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

Apply this formula for all numbers.

Step1:

LCM(644, 142) = 45724

GCD(644, 142) = ( 644 x 142 ) / 45724

= 644 / 142

= 644

Step2:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

Step3:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 644, 142, 802, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 777, 267, 653
• GCD of 541, 319, 900, 611
• GCD of 941, 995, 700, 928
• GCD of 575, 999, 545, 382
• GCD of 374, 853, 626, 708

Given numbers are 644, 142, 802, 800
The greatest common divisor of numbers 644, 142, 802, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 142, 802, 800 is 2.

1. What is the GCD of 644, 142, 802, 800?

GCD of given numbers 644, 142, 802, 800 is 2

2. How to calculate the greatest common divisor of 644, 142, 802, 800?

We can find the highest common divisor of 644, 142, 802, 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 644, 142, 802, 800 i.e 2.

3. How can I use the GCD of 644, 142, 802, 800Calculator?

Out the numbers 644, 142, 802, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.