GCD of 360, 709, 660, 746 Calculator

Given Input numbers are 360, 709, 660, 746

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 709 :

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

1, 709

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (360, 709, 660, 746) = 1.

Given numbers are 360, 709, 660, 746

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 709 are 709

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

Prime factors of 746 are 2 x 373

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

Given numbers are 360, 709, 660, 746

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

Apply this formula for all numbers.

Step1:

LCM(360, 709) = 255240

GCD(360, 709) = ( 360 x 709 ) / 255240

= 360 / 709

= 360

Step2:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 360, 709, 660, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 678, 398, 124
• GCD of 222, 661, 781, 536
• GCD of 636, 701, 317, 309
• GCD of 216, 883, 376, 104
• GCD of 668, 178, 617, 794

Given numbers are 360, 709, 660, 746
The greatest common divisor of numbers 360, 709, 660, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 709, 660, 746 is 1.

1. What is the GCD of 360, 709, 660, 746?

GCD of given numbers 360, 709, 660, 746 is 1

2. How to calculate the greatest common divisor of 360, 709, 660, 746?

We can find the highest common divisor of 360, 709, 660, 746 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, 709, 660, 746 i.e 1.

3. How can I use the GCD of 360, 709, 660, 746Calculator?

Out the numbers 360, 709, 660, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.