GCD of 360, 747, 689, 709 Calculator

Given Input numbers are 360, 747, 689, 709

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 709 :

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

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (360, 747, 689, 709) = 1.

Given numbers are 360, 747, 689, 709

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 747 are 3 x 3 x 83

Prime factors of 689 are 13 x 53

Prime factors of 709 are 709

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

Given numbers are 360, 747, 689, 709

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

Apply this formula for all numbers.

Step1:

LCM(360, 747) = 29880

GCD(360, 747) = ( 360 x 747 ) / 29880

= 360 / 747

= 360

Step2:

LCM(9, 689) = 6201

GCD(9, 689) = ( 9 x 689 ) / 6201

= 9 / 689

= 9

Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

So, Greatest Common Divisor of 360, 747, 689, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 781, 400, 973
• GCD of 248, 367, 190, 608
• GCD of 862, 932, 411, 327
• GCD of 919, 461, 512, 590
• GCD of 692, 389, 770, 852

Given numbers are 360, 747, 689, 709
The greatest common divisor of numbers 360, 747, 689, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 747, 689, 709 is 1.

1. What is the GCD of 360, 747, 689, 709?

GCD of given numbers 360, 747, 689, 709 is 1

2. How to calculate the greatest common divisor of 360, 747, 689, 709?

We can find the highest common divisor of 360, 747, 689, 709 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 360, 747, 689, 709 i.e 1.

3. How can I use the GCD of 360, 747, 689, 709Calculator?

Out the numbers 360, 747, 689, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.