GCD of 488, 500, 136, 142 Calculator

Given Input numbers are 488, 500, 136, 142

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 142 :

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

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (488, 500, 136, 142) = 2.

Given numbers are 488, 500, 136, 142

The list of prime factors of all numbers are

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

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 488, 500, 136, 142 is 2.

Given numbers are 488, 500, 136, 142

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

Apply this formula for all numbers.

Step1:

LCM(488, 500) = 61000

GCD(488, 500) = ( 488 x 500 ) / 61000

= 488 / 500

= 488

Step2:

LCM(4, 136) = 136

GCD(4, 136) = ( 4 x 136 ) / 136

= 4 / 136

= 4

Step3:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

So, Greatest Common Divisor of 488, 500, 136, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 705, 647, 716
• GCD of 910, 667, 329, 407
• GCD of 791, 875, 944, 547
• GCD of 531, 531, 829, 923
• GCD of 563, 260, 293, 160

Given numbers are 488, 500, 136, 142
The greatest common divisor of numbers 488, 500, 136, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 500, 136, 142 is 2.

1. What is the GCD of 488, 500, 136, 142?

GCD of given numbers 488, 500, 136, 142 is 2

2. How to calculate the greatest common divisor of 488, 500, 136, 142?

We can find the highest common divisor of 488, 500, 136, 142 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, 500, 136, 142 i.e 2.

3. How can I use the GCD of 488, 500, 136, 142Calculator?

Out the numbers 488, 500, 136, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.