GCD of 753, 138, 171 Calculator

Given Input numbers are 753, 138, 171

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 (753, 138, 171) = 3.

Given numbers are 753, 138, 171

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 138 are 2 x 3 x 23

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 753, 138, 171 is 3.

Given numbers are 753, 138, 171

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

Apply this formula for all numbers.

Step1:

LCM(753, 138) = 34638

GCD(753, 138) = ( 753 x 138 ) / 34638

= 753 / 138

= 753

Step2:

LCM(3, 171) = 171

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

= 3 / 171

= 3

So, Greatest Common Divisor of 753, 138, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 495, 533
• GCD of 631, 969, 830
• GCD of 333, 360, 909
• GCD of 675, 578, 434
• GCD of 321, 301, 373

Given numbers are 753, 138, 171
The greatest common divisor of numbers 753, 138, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 138, 171 is 3.

1. What is the GCD of 753, 138, 171?

GCD of given numbers 753, 138, 171 is 3

2. How to calculate the greatest common divisor of 753, 138, 171?

We can find the highest common divisor of 753, 138, 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 753, 138, 171 i.e 3.

3. How can I use the GCD of 753, 138, 171Calculator?

Out the numbers 753, 138, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.