GCD of 753, 450, 138, 717 Calculator

Given Input numbers are 753, 450, 138, 717

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 138 :

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

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

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (753, 450, 138, 717) = 3.

Given numbers are 753, 450, 138, 717

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 753, 450, 138, 717 is 3.

Given numbers are 753, 450, 138, 717

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

Apply this formula for all numbers.

Step1:

LCM(753, 450) = 112950

GCD(753, 450) = ( 753 x 450 ) / 112950

= 753 / 450

= 753

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

= 3 / 717

= 3

So, Greatest Common Divisor of 753, 450, 138, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 609, 955, 158
• GCD of 635, 511, 222, 126
• GCD of 376, 139, 709, 314
• GCD of 854, 317, 888, 206
• GCD of 806, 246, 211, 804

Given numbers are 753, 450, 138, 717
The greatest common divisor of numbers 753, 450, 138, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 450, 138, 717 is 3.

1. What is the GCD of 753, 450, 138, 717?

GCD of given numbers 753, 450, 138, 717 is 3

2. How to calculate the greatest common divisor of 753, 450, 138, 717?

We can find the highest common divisor of 753, 450, 138, 717 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, 450, 138, 717 i.e 3.

3. How can I use the GCD of 753, 450, 138, 717Calculator?

Out the numbers 753, 450, 138, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.