GCD of 369, 134, 648, 342 Calculator

Given Input numbers are 369, 134, 648, 342

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (369, 134, 648, 342) = 1.

Given numbers are 369, 134, 648, 342

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 134 are 2 x 67

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

Prime factors of 342 are 2 x 3 x 3 x 19

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

Given numbers are 369, 134, 648, 342

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

Apply this formula for all numbers.

Step1:

LCM(369, 134) = 49446

GCD(369, 134) = ( 369 x 134 ) / 49446

= 369 / 134

= 369

Step2:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 369, 134, 648, 342 is 1

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Given numbers are 369, 134, 648, 342
The greatest common divisor of numbers 369, 134, 648, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 134, 648, 342 is 1.

1. What is the GCD of 369, 134, 648, 342?

GCD of given numbers 369, 134, 648, 342 is 1

2. How to calculate the greatest common divisor of 369, 134, 648, 342?

We can find the highest common divisor of 369, 134, 648, 342 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 369, 134, 648, 342 i.e 1.

3. How can I use the GCD of 369, 134, 648, 342Calculator?

Out the numbers 369, 134, 648, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.