GCD of 171, 114, 600, 354 Calculator

Given Input numbers are 171, 114, 600, 354

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (171, 114, 600, 354) = 3.

Given numbers are 171, 114, 600, 354

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 114 are 2 x 3 x 19

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 171, 114, 600, 354 is 3.

Given numbers are 171, 114, 600, 354

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

Apply this formula for all numbers.

Step1:

LCM(171, 114) = 342

GCD(171, 114) = ( 171 x 114 ) / 342

= 171 / 114

= 171

Step2:

LCM(57, 600) = 11400

GCD(57, 600) = ( 57 x 600 ) / 11400

= 57 / 600

= 57

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 171, 114, 600, 354 is 3

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• GCD of 822, 770, 804, 938
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Given numbers are 171, 114, 600, 354
The greatest common divisor of numbers 171, 114, 600, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 114, 600, 354 is 3.

1. What is the GCD of 171, 114, 600, 354?

GCD of given numbers 171, 114, 600, 354 is 3

2. How to calculate the greatest common divisor of 171, 114, 600, 354?

We can find the highest common divisor of 171, 114, 600, 354 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 171, 114, 600, 354 i.e 3.

3. How can I use the GCD of 171, 114, 600, 354Calculator?

Out the numbers 171, 114, 600, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.