GCD of 488, 600, 172, 464 Calculator

Given Input numbers are 488, 600, 172, 464

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (488, 600, 172, 464) = 4.

Given numbers are 488, 600, 172, 464

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 172 are 2 x 2 x 43

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 488, 600, 172, 464 is 4.

Given numbers are 488, 600, 172, 464

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

Apply this formula for all numbers.

Step1:

LCM(488, 600) = 36600

GCD(488, 600) = ( 488 x 600 ) / 36600

= 488 / 600

= 488

Step2:

LCM(8, 172) = 344

GCD(8, 172) = ( 8 x 172 ) / 344

= 8 / 172

= 8

Step3:

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

= 4 / 464

= 4

So, Greatest Common Divisor of 488, 600, 172, 464 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 238, 607, 854
• GCD of 621, 298, 849, 558
• GCD of 315, 337, 503, 152
• GCD of 464, 825, 878, 473
• GCD of 365, 413, 645, 988

Given numbers are 488, 600, 172, 464
The greatest common divisor of numbers 488, 600, 172, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 600, 172, 464 is 4.

1. What is the GCD of 488, 600, 172, 464?

GCD of given numbers 488, 600, 172, 464 is 4

2. How to calculate the greatest common divisor of 488, 600, 172, 464?

We can find the highest common divisor of 488, 600, 172, 464 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 488, 600, 172, 464 i.e 4.

3. How can I use the GCD of 488, 600, 172, 464Calculator?

Out the numbers 488, 600, 172, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.