GCD of 470, 606, 724, 800 Calculator

Given Input numbers are 470, 606, 724, 800

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 (470, 606, 724, 800) = 2.

Given numbers are 470, 606, 724, 800

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 606 are 2 x 3 x 101

Prime factors of 724 are 2 x 2 x 181

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 470, 606, 724, 800 is 2.

Given numbers are 470, 606, 724, 800

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

Apply this formula for all numbers.

Step1:

LCM(470, 606) = 142410

GCD(470, 606) = ( 470 x 606 ) / 142410

= 470 / 606

= 470

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 800) = 800

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

= 2 / 800

= 2

So, Greatest Common Divisor of 470, 606, 724, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 746, 275, 205
• GCD of 654, 203, 578, 186
• GCD of 240, 831, 780, 264
• GCD of 746, 562, 469, 149
• GCD of 328, 683, 184, 658

Given numbers are 470, 606, 724, 800
The greatest common divisor of numbers 470, 606, 724, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 606, 724, 800 is 2.

1. What is the GCD of 470, 606, 724, 800?

GCD of given numbers 470, 606, 724, 800 is 2

2. How to calculate the greatest common divisor of 470, 606, 724, 800?

We can find the highest common divisor of 470, 606, 724, 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 470, 606, 724, 800 i.e 2.

3. How can I use the GCD of 470, 606, 724, 800Calculator?

Out the numbers 470, 606, 724, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.