GCD of 360, 374, 696, 739 Calculator

Given Input numbers are 360, 374, 696, 739

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

GCD of numbers is the greatest common divisor

So, the GCD (360, 374, 696, 739) = 1.

Given numbers are 360, 374, 696, 739

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 374 are 2 x 11 x 17

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 739 are 739

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

Given numbers are 360, 374, 696, 739

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

Apply this formula for all numbers.

Step1:

LCM(360, 374) = 67320

GCD(360, 374) = ( 360 x 374 ) / 67320

= 360 / 374

= 360

Step2:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

Step3:

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

= 2 / 739

= 2

So, Greatest Common Divisor of 360, 374, 696, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 525, 414, 410
• GCD of 789, 303, 229, 609
• GCD of 531, 784, 822, 357
• GCD of 340, 924, 587, 301
• GCD of 235, 250, 207, 873

Given numbers are 360, 374, 696, 739
The greatest common divisor of numbers 360, 374, 696, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 374, 696, 739 is 1.

1. What is the GCD of 360, 374, 696, 739?

GCD of given numbers 360, 374, 696, 739 is 1

2. How to calculate the greatest common divisor of 360, 374, 696, 739?

We can find the highest common divisor of 360, 374, 696, 739 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, 374, 696, 739 i.e 1.

3. How can I use the GCD of 360, 374, 696, 739Calculator?

Out the numbers 360, 374, 696, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.