GCD of 800, 664, 147, 900 Calculator

Given Input numbers are 800, 664, 147, 900

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (800, 664, 147, 900) = 1.

Given numbers are 800, 664, 147, 900

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 664 are 2 x 2 x 2 x 83

Prime factors of 147 are 3 x 7 x 7

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 800, 664, 147, 900

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

Apply this formula for all numbers.

Step1:

LCM(800, 664) = 66400

GCD(800, 664) = ( 800 x 664 ) / 66400

= 800 / 664

= 800

Step2:

LCM(8, 147) = 1176

GCD(8, 147) = ( 8 x 147 ) / 1176

= 8 / 147

= 8

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 800, 664, 147, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 315, 503, 907
• GCD of 881, 887, 873, 757
• GCD of 332, 530, 369, 204
• GCD of 102, 379, 455, 598
• GCD of 800, 980, 831, 777

Given numbers are 800, 664, 147, 900
The greatest common divisor of numbers 800, 664, 147, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 664, 147, 900 is 1.

1. What is the GCD of 800, 664, 147, 900?

GCD of given numbers 800, 664, 147, 900 is 1

2. How to calculate the greatest common divisor of 800, 664, 147, 900?

We can find the highest common divisor of 800, 664, 147, 900 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, 664, 147, 900 i.e 1.

3. How can I use the GCD of 800, 664, 147, 900Calculator?

Out the numbers 800, 664, 147, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.