GCD of 350, 567, 600, 342 Calculator

Given Input numbers are 350, 567, 600, 342

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 (350, 567, 600, 342) = 1.

Given numbers are 350, 567, 600, 342

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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 350, 567, 600, 342

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

Apply this formula for all numbers.

Step1:

LCM(350, 567) = 28350

GCD(350, 567) = ( 350 x 567 ) / 28350

= 350 / 567

= 350

Step2:

LCM(7, 600) = 4200

GCD(7, 600) = ( 7 x 600 ) / 4200

= 7 / 600

= 7

Step3:

LCM(1, 342) = 342

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

= 1 / 342

= 1

So, Greatest Common Divisor of 350, 567, 600, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 202, 557, 767
• GCD of 564, 836, 185, 890
• GCD of 928, 603, 287, 292
• GCD of 186, 868, 930, 154
• GCD of 637, 867, 890, 286

Given numbers are 350, 567, 600, 342
The greatest common divisor of numbers 350, 567, 600, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 567, 600, 342 is 1.

1. What is the GCD of 350, 567, 600, 342?

GCD of given numbers 350, 567, 600, 342 is 1

2. How to calculate the greatest common divisor of 350, 567, 600, 342?

We can find the highest common divisor of 350, 567, 600, 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 350, 567, 600, 342 i.e 1.

3. How can I use the GCD of 350, 567, 600, 342Calculator?

Out the numbers 350, 567, 600, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.