GCD of 367, 978, 736, 342 Calculator

Given Input numbers are 367, 978, 736, 342

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

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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 (367, 978, 736, 342) = 1.

Given numbers are 367, 978, 736, 342

The list of prime factors of all numbers are

Prime factors of 367 are 367

Prime factors of 978 are 2 x 3 x 163

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

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 367, 978, 736, 342

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

Apply this formula for all numbers.

Step1:

LCM(367, 978) = 358926

GCD(367, 978) = ( 367 x 978 ) / 358926

= 367 / 978

= 367

Step2:

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

= 1 / 736

= 1

Step3:

LCM(1, 342) = 342

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

= 1 / 342

= 1

So, Greatest Common Divisor of 367, 978, 736, 342 is 1

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Given numbers are 367, 978, 736, 342
The greatest common divisor of numbers 367, 978, 736, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 367, 978, 736, 342 is 1.

1. What is the GCD of 367, 978, 736, 342?

GCD of given numbers 367, 978, 736, 342 is 1

2. How to calculate the greatest common divisor of 367, 978, 736, 342?

We can find the highest common divisor of 367, 978, 736, 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 367, 978, 736, 342 i.e 1.

3. How can I use the GCD of 367, 978, 736, 342Calculator?

Out the numbers 367, 978, 736, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.