GCD of 708, 387, 15, 660 Calculator

Given Input numbers are 708, 387, 15, 660

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (708, 387, 15, 660) = 3.

Given numbers are 708, 387, 15, 660

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 387 are 3 x 3 x 43

Prime factors of 15 are 3 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 708, 387, 15, 660 is 3.

Given numbers are 708, 387, 15, 660

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

Apply this formula for all numbers.

Step1:

LCM(708, 387) = 91332

GCD(708, 387) = ( 708 x 387 ) / 91332

= 708 / 387

= 708

Step2:

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

= 3 / 15

= 3

Step3:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3

So, Greatest Common Divisor of 708, 387, 15, 660 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 441, 48, 315
• GCD of 581, 374, 21, 788
• GCD of 316, 625, 83, 416
• GCD of 267, 305, 22, 969
• GCD of 198, 414, 46, 292

Given numbers are 708, 387, 15, 660
The greatest common divisor of numbers 708, 387, 15, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 387, 15, 660 is 3.

1. What is the GCD of 708, 387, 15, 660?

GCD of given numbers 708, 387, 15, 660 is 3

2. How to calculate the greatest common divisor of 708, 387, 15, 660?

We can find the highest common divisor of 708, 387, 15, 660 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 708, 387, 15, 660 i.e 3.

3. How can I use the GCD of 708, 387, 15, 660Calculator?

Out the numbers 708, 387, 15, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.