GCD of 376, 578, 345, 342 Calculator

Given Input numbers are 376, 578, 345, 342

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 (376, 578, 345, 342) = 1.

Given numbers are 376, 578, 345, 342

The list of prime factors of all numbers are

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 578 are 2 x 17 x 17

Prime factors of 345 are 3 x 5 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 376, 578, 345, 342

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

Apply this formula for all numbers.

Step1:

LCM(376, 578) = 108664

GCD(376, 578) = ( 376 x 578 ) / 108664

= 376 / 578

= 376

Step2:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2

Step3:

LCM(1, 342) = 342

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

= 1 / 342

= 1

So, Greatest Common Divisor of 376, 578, 345, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 346, 185, 143
• GCD of 130, 191, 873, 121
• GCD of 465, 227, 445, 586
• GCD of 984, 563, 998, 622
• GCD of 533, 818, 980, 596

Given numbers are 376, 578, 345, 342
The greatest common divisor of numbers 376, 578, 345, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 578, 345, 342 is 1.

1. What is the GCD of 376, 578, 345, 342?

GCD of given numbers 376, 578, 345, 342 is 1

2. How to calculate the greatest common divisor of 376, 578, 345, 342?

We can find the highest common divisor of 376, 578, 345, 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 376, 578, 345, 342 i.e 1.

3. How can I use the GCD of 376, 578, 345, 342Calculator?

Out the numbers 376, 578, 345, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.