GCD of 489, 753, 261, 938 Calculator

Given Input numbers are 489, 753, 261, 938

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 753 :

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

1, 3, 251, 753

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (489, 753, 261, 938) = 1.

Given numbers are 489, 753, 261, 938

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 753 are 3 x 251

Prime factors of 261 are 3 x 3 x 29

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 489, 753, 261, 938

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

Apply this formula for all numbers.

Step1:

LCM(489, 753) = 122739

GCD(489, 753) = ( 489 x 753 ) / 122739

= 489 / 753

= 489

Step2:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

Step3:

LCM(3, 938) = 2814

GCD(3, 938) = ( 3 x 938 ) / 2814

= 3 / 938

= 3

So, Greatest Common Divisor of 489, 753, 261, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 245, 218, 732
• GCD of 648, 111, 316, 194
• GCD of 765, 346, 180, 557
• GCD of 917, 198, 686, 520
• GCD of 856, 638, 485, 284

Given numbers are 489, 753, 261, 938
The greatest common divisor of numbers 489, 753, 261, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 753, 261, 938 is 1.

1. What is the GCD of 489, 753, 261, 938?

GCD of given numbers 489, 753, 261, 938 is 1

2. How to calculate the greatest common divisor of 489, 753, 261, 938?

We can find the highest common divisor of 489, 753, 261, 938 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 489, 753, 261, 938 i.e 1.

3. How can I use the GCD of 489, 753, 261, 938Calculator?

Out the numbers 489, 753, 261, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.