GCD of 360, 408, 742, 703 Calculator

Given Input numbers are 360, 408, 742, 703

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 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

GCD of numbers is the greatest common divisor

So, the GCD (360, 408, 742, 703) = 1.

Given numbers are 360, 408, 742, 703

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 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 742 are 2 x 7 x 53

Prime factors of 703 are 19 x 37

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

Given numbers are 360, 408, 742, 703

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

Apply this formula for all numbers.

Step1:

LCM(360, 408) = 6120

GCD(360, 408) = ( 360 x 408 ) / 6120

= 360 / 408

= 360

Step2:

LCM(24, 742) = 8904

GCD(24, 742) = ( 24 x 742 ) / 8904

= 24 / 742

= 24

Step3:

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

= 2 / 703

= 2

So, Greatest Common Divisor of 360, 408, 742, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 686, 349, 400
• GCD of 253, 515, 125, 313
• GCD of 546, 216, 718, 487
• GCD of 435, 677, 744, 634
• GCD of 125, 753, 333, 683

Given numbers are 360, 408, 742, 703
The greatest common divisor of numbers 360, 408, 742, 703 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 408, 742, 703 is 1.

1. What is the GCD of 360, 408, 742, 703?

GCD of given numbers 360, 408, 742, 703 is 1

2. How to calculate the greatest common divisor of 360, 408, 742, 703?

We can find the highest common divisor of 360, 408, 742, 703 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, 408, 742, 703 i.e 1.

3. How can I use the GCD of 360, 408, 742, 703Calculator?

Out the numbers 360, 408, 742, 703 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.