GCD of 345, 543, 942 Calculator

Given Input numbers are 345, 543, 942

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

Divisors of 345 :

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

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

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (345, 543, 942) = 3.

Given numbers are 345, 543, 942

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 543 are 3 x 181

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 345, 543, 942 is 3.

Given numbers are 345, 543, 942

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

Apply this formula for all numbers.

Step1:

LCM(345, 543) = 62445

GCD(345, 543) = ( 345 x 543 ) / 62445

= 345 / 543

= 345

Step2:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

So, Greatest Common Divisor of 345, 543, 942 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 892, 669
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Given numbers are 345, 543, 942
The greatest common divisor of numbers 345, 543, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 543, 942 is 3.

1. What is the GCD of 345, 543, 942?

GCD of given numbers 345, 543, 942 is 3

2. How to calculate the greatest common divisor of 345, 543, 942?

We can find the highest common divisor of 345, 543, 942 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 345, 543, 942 i.e 3.

3. How can I use the GCD of 345, 543, 942Calculator?

Out the numbers 345, 543, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.