GCD of 747, 489, 48, 657 Calculator

Given Input numbers are 747, 489, 48, 657

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

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (747, 489, 48, 657) = 3.

Given numbers are 747, 489, 48, 657

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 489 are 3 x 163

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 657 are 3 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 747, 489, 48, 657 is 3.

Given numbers are 747, 489, 48, 657

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

Apply this formula for all numbers.

Step1:

LCM(747, 489) = 121761

GCD(747, 489) = ( 747 x 489 ) / 121761

= 747 / 489

= 747

Step2:

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

= 3 / 48

= 3

Step3:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3

So, Greatest Common Divisor of 747, 489, 48, 657 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 262, 99, 264
• GCD of 186, 447, 12, 747
• GCD of 781, 898, 69, 376
• GCD of 263, 623, 86, 741
• GCD of 997, 358, 98, 172

Given numbers are 747, 489, 48, 657
The greatest common divisor of numbers 747, 489, 48, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 489, 48, 657 is 3.

1. What is the GCD of 747, 489, 48, 657?

GCD of given numbers 747, 489, 48, 657 is 3

2. How to calculate the greatest common divisor of 747, 489, 48, 657?

We can find the highest common divisor of 747, 489, 48, 657 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 747, 489, 48, 657 i.e 3.

3. How can I use the GCD of 747, 489, 48, 657Calculator?

Out the numbers 747, 489, 48, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.