GCD of 142, 648, 212, 482 Calculator

Given Input numbers are 142, 648, 212, 482

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

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

GCD of numbers is the greatest common divisor

So, the GCD (142, 648, 212, 482) = 2.

Given numbers are 142, 648, 212, 482

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 212 are 2 x 2 x 53

Prime factors of 482 are 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 142, 648, 212, 482 is 2.

Given numbers are 142, 648, 212, 482

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

Apply this formula for all numbers.

Step1:

LCM(142, 648) = 46008

GCD(142, 648) = ( 142 x 648 ) / 46008

= 142 / 648

= 142

Step2:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

Step3:

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

= 2 / 482

= 2

So, Greatest Common Divisor of 142, 648, 212, 482 is 2

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Given numbers are 142, 648, 212, 482
The greatest common divisor of numbers 142, 648, 212, 482 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 648, 212, 482 is 2.

1. What is the GCD of 142, 648, 212, 482?

GCD of given numbers 142, 648, 212, 482 is 2

2. How to calculate the greatest common divisor of 142, 648, 212, 482?

We can find the highest common divisor of 142, 648, 212, 482 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 142, 648, 212, 482 i.e 2.

3. How can I use the GCD of 142, 648, 212, 482Calculator?

Out the numbers 142, 648, 212, 482 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.