GCD of 800, 623, 564, 142 Calculator

Given Input numbers are 800, 623, 564, 142

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 623 :

The positive integer divisors of 623 that completely divides 623 are.

1, 7, 89, 623

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 142 :

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

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (800, 623, 564, 142) = 1.

Given numbers are 800, 623, 564, 142

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 623 are 7 x 89

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 142 are 2 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 800, 623, 564, 142

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

Apply this formula for all numbers.

Step1:

LCM(800, 623) = 498400

GCD(800, 623) = ( 800 x 623 ) / 498400

= 800 / 623

= 800

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 800, 623, 564, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 597, 296, 490
• GCD of 357, 193, 897, 800
• GCD of 471, 589, 803, 918
• GCD of 262, 298, 907, 957
• GCD of 688, 371, 510, 151

Given numbers are 800, 623, 564, 142
The greatest common divisor of numbers 800, 623, 564, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 623, 564, 142 is 1.

1. What is the GCD of 800, 623, 564, 142?

GCD of given numbers 800, 623, 564, 142 is 1

2. How to calculate the greatest common divisor of 800, 623, 564, 142?

We can find the highest common divisor of 800, 623, 564, 142 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, 623, 564, 142 i.e 1.

3. How can I use the GCD of 800, 623, 564, 142Calculator?

Out the numbers 800, 623, 564, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.