GCD of 979, 723, 360, 745 Calculator

Given Input numbers are 979, 723, 360, 745

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

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (979, 723, 360, 745) = 1.

Given numbers are 979, 723, 360, 745

The list of prime factors of all numbers are

Prime factors of 979 are 11 x 89

Prime factors of 723 are 3 x 241

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

Prime factors of 745 are 5 x 149

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

Given numbers are 979, 723, 360, 745

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

Apply this formula for all numbers.

Step1:

LCM(979, 723) = 707817

GCD(979, 723) = ( 979 x 723 ) / 707817

= 979 / 723

= 979

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

So, Greatest Common Divisor of 979, 723, 360, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 437, 984, 570
• GCD of 763, 198, 282, 198
• GCD of 661, 270, 709, 586
• GCD of 756, 674, 722, 409
• GCD of 817, 427, 671, 411

Given numbers are 979, 723, 360, 745
The greatest common divisor of numbers 979, 723, 360, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 979, 723, 360, 745 is 1.

1. What is the GCD of 979, 723, 360, 745?

GCD of given numbers 979, 723, 360, 745 is 1

2. How to calculate the greatest common divisor of 979, 723, 360, 745?

We can find the highest common divisor of 979, 723, 360, 745 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 979, 723, 360, 745 i.e 1.

3. How can I use the GCD of 979, 723, 360, 745Calculator?

Out the numbers 979, 723, 360, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.