GCD of 648, 308, 147, 142 Calculator

Given Input numbers are 648, 308, 147, 142

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

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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 (648, 308, 147, 142) = 1.

Given numbers are 648, 308, 147, 142

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 147 are 3 x 7 x 7

Prime factors of 142 are 2 x 71

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

Given numbers are 648, 308, 147, 142

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

Apply this formula for all numbers.

Step1:

LCM(648, 308) = 49896

GCD(648, 308) = ( 648 x 308 ) / 49896

= 648 / 308

= 648

Step2:

LCM(4, 147) = 588

GCD(4, 147) = ( 4 x 147 ) / 588

= 4 / 147

= 4

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 648, 308, 147, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 639, 799, 578
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Given numbers are 648, 308, 147, 142
The greatest common divisor of numbers 648, 308, 147, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 308, 147, 142 is 1.

1. What is the GCD of 648, 308, 147, 142?

GCD of given numbers 648, 308, 147, 142 is 1

2. How to calculate the greatest common divisor of 648, 308, 147, 142?

We can find the highest common divisor of 648, 308, 147, 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 648, 308, 147, 142 i.e 1.

3. How can I use the GCD of 648, 308, 147, 142Calculator?

Out the numbers 648, 308, 147, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.