GCD of 470, 872, 142, 110 Calculator

Given Input numbers are 470, 872, 142, 110

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

GCD of numbers is the greatest common divisor

So, the GCD (470, 872, 142, 110) = 2.

Given numbers are 470, 872, 142, 110

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 142 are 2 x 71

Prime factors of 110 are 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 470, 872, 142, 110 is 2.

Given numbers are 470, 872, 142, 110

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

Apply this formula for all numbers.

Step1:

LCM(470, 872) = 204920

GCD(470, 872) = ( 470 x 872 ) / 204920

= 470 / 872

= 470

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

Step3:

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

= 2 / 110

= 2

So, Greatest Common Divisor of 470, 872, 142, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 554, 165, 985
• GCD of 733, 335, 995, 330
• GCD of 729, 420, 772, 287
• GCD of 621, 199, 732, 256
• GCD of 177, 201, 755, 519

Given numbers are 470, 872, 142, 110
The greatest common divisor of numbers 470, 872, 142, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 872, 142, 110 is 2.

1. What is the GCD of 470, 872, 142, 110?

GCD of given numbers 470, 872, 142, 110 is 2

2. How to calculate the greatest common divisor of 470, 872, 142, 110?

We can find the highest common divisor of 470, 872, 142, 110 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, 872, 142, 110 i.e 2.

3. How can I use the GCD of 470, 872, 142, 110Calculator?

Out the numbers 470, 872, 142, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.