GCD of 748, 172, 489, 872 Calculator

Given Input numbers are 748, 172, 489, 872

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 872 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (748, 172, 489, 872) = 1.

Given numbers are 748, 172, 489, 872

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 172 are 2 x 2 x 43

Prime factors of 489 are 3 x 163

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

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

Given numbers are 748, 172, 489, 872

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

Apply this formula for all numbers.

Step1:

LCM(748, 172) = 32164

GCD(748, 172) = ( 748 x 172 ) / 32164

= 748 / 172

= 748

Step2:

LCM(4, 489) = 1956

GCD(4, 489) = ( 4 x 489 ) / 1956

= 4 / 489

= 4

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 748, 172, 489, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 638, 447, 424
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Given numbers are 748, 172, 489, 872
The greatest common divisor of numbers 748, 172, 489, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 172, 489, 872 is 1.

1. What is the GCD of 748, 172, 489, 872?

GCD of given numbers 748, 172, 489, 872 is 1

2. How to calculate the greatest common divisor of 748, 172, 489, 872?

We can find the highest common divisor of 748, 172, 489, 872 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 748, 172, 489, 872 i.e 1.

3. How can I use the GCD of 748, 172, 489, 872Calculator?

Out the numbers 748, 172, 489, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.