GCD of 180, 269, 123, 747 Calculator

Given Input numbers are 180, 269, 123, 747

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (180, 269, 123, 747) = 1.

Given numbers are 180, 269, 123, 747

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 269 are 269

Prime factors of 123 are 3 x 41

Prime factors of 747 are 3 x 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 180, 269, 123, 747

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

Apply this formula for all numbers.

Step1:

LCM(180, 269) = 48420

GCD(180, 269) = ( 180 x 269 ) / 48420

= 180 / 269

= 180

Step2:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

Step3:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

So, Greatest Common Divisor of 180, 269, 123, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 770, 928, 973
• GCD of 204, 540, 804, 533
• GCD of 459, 946, 370, 222
• GCD of 174, 165, 892, 589
• GCD of 211, 648, 697, 479

Given numbers are 180, 269, 123, 747
The greatest common divisor of numbers 180, 269, 123, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 269, 123, 747 is 1.

1. What is the GCD of 180, 269, 123, 747?

GCD of given numbers 180, 269, 123, 747 is 1

2. How to calculate the greatest common divisor of 180, 269, 123, 747?

We can find the highest common divisor of 180, 269, 123, 747 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 180, 269, 123, 747 i.e 1.

3. How can I use the GCD of 180, 269, 123, 747Calculator?

Out the numbers 180, 269, 123, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.