GCD of 108, 132, 709, 777 Calculator

Given Input numbers are 108, 132, 709, 777

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

GCD of numbers is the greatest common divisor

So, the GCD (108, 132, 709, 777) = 1.

Given numbers are 108, 132, 709, 777

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 709 are 709

Prime factors of 777 are 3 x 7 x 37

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

Given numbers are 108, 132, 709, 777

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

Apply this formula for all numbers.

Step1:

LCM(108, 132) = 1188

GCD(108, 132) = ( 108 x 132 ) / 1188

= 108 / 132

= 108

Step2:

LCM(12, 709) = 8508

GCD(12, 709) = ( 12 x 709 ) / 8508

= 12 / 709

= 12

Step3:

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

= 1 / 777

= 1

So, Greatest Common Divisor of 108, 132, 709, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 602, 345, 472
• GCD of 388, 954, 438, 537
• GCD of 581, 628, 914, 381
• GCD of 988, 131, 120, 811
• GCD of 156, 966, 498, 494

Given numbers are 108, 132, 709, 777
The greatest common divisor of numbers 108, 132, 709, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 132, 709, 777 is 1.

1. What is the GCD of 108, 132, 709, 777?

GCD of given numbers 108, 132, 709, 777 is 1

2. How to calculate the greatest common divisor of 108, 132, 709, 777?

We can find the highest common divisor of 108, 132, 709, 777 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 108, 132, 709, 777 i.e 1.

3. How can I use the GCD of 108, 132, 709, 777Calculator?

Out the numbers 108, 132, 709, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.