GCD of 567, 360, 750, 171 Calculator

Given Input numbers are 567, 360, 750, 171

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

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (567, 360, 750, 171) = 3.

Given numbers are 567, 360, 750, 171

The list of prime factors of all numbers are

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 567, 360, 750, 171 is 3.

Given numbers are 567, 360, 750, 171

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

Apply this formula for all numbers.

Step1:

LCM(567, 360) = 22680

GCD(567, 360) = ( 567 x 360 ) / 22680

= 567 / 360

= 567

Step2:

LCM(9, 750) = 2250

GCD(9, 750) = ( 9 x 750 ) / 2250

= 9 / 750

= 9

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 567, 360, 750, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 133, 122, 165
• GCD of 670, 846, 158, 417
• GCD of 998, 447, 554, 938
• GCD of 916, 751, 693, 888
• GCD of 740, 880, 775, 157

Given numbers are 567, 360, 750, 171
The greatest common divisor of numbers 567, 360, 750, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 360, 750, 171 is 3.

1. What is the GCD of 567, 360, 750, 171?

GCD of given numbers 567, 360, 750, 171 is 3

2. How to calculate the greatest common divisor of 567, 360, 750, 171?

We can find the highest common divisor of 567, 360, 750, 171 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 567, 360, 750, 171 i.e 3.

3. How can I use the GCD of 567, 360, 750, 171Calculator?

Out the numbers 567, 360, 750, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.