GCD of 872, 888, 704, 664 Calculator

Given Input numbers are 872, 888, 704, 664

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

Divisors of 872 :

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

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

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 664 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (872, 888, 704, 664) = 8.

Given numbers are 872, 888, 704, 664

The list of prime factors of all numbers are

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

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 664 are 2 x 2 x 2 x 83

The highest common occurrence is 2³

Therefore, GCD of 872, 888, 704, 664 is 8.

Given numbers are 872, 888, 704, 664

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

Apply this formula for all numbers.

Step1:

LCM(872, 888) = 96792

GCD(872, 888) = ( 872 x 888 ) / 96792

= 872 / 888

= 872

Step2:

LCM(8, 704) = 704

GCD(8, 704) = ( 8 x 704 ) / 704

= 8 / 704

= 8

Step3:

LCM(8, 664) = 664

GCD(8, 664) = ( 8 x 664 ) / 664

= 8 / 664

= 8

So, Greatest Common Divisor of 872, 888, 704, 664 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 962, 418, 805
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Given numbers are 872, 888, 704, 664
The greatest common divisor of numbers 872, 888, 704, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 888, 704, 664 is 8.

1. What is the GCD of 872, 888, 704, 664?

GCD of given numbers 872, 888, 704, 664 is 8

2. How to calculate the greatest common divisor of 872, 888, 704, 664?

We can find the highest common divisor of 872, 888, 704, 664 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 872, 888, 704, 664 i.e 8.

3. How can I use the GCD of 872, 888, 704, 664Calculator?

Out the numbers 872, 888, 704, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.