GCD of 360, 699, 764, 977 Calculator

Given Input numbers are 360, 699, 764, 977

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 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (360, 699, 764, 977) = 1.

Given numbers are 360, 699, 764, 977

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 699 are 3 x 233

Prime factors of 764 are 2 x 2 x 191

Prime factors of 977 are 977

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

Given numbers are 360, 699, 764, 977

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

Apply this formula for all numbers.

Step1:

LCM(360, 699) = 83880

GCD(360, 699) = ( 360 x 699 ) / 83880

= 360 / 699

= 360

Step2:

LCM(3, 764) = 2292

GCD(3, 764) = ( 3 x 764 ) / 2292

= 3 / 764

= 3

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 360, 699, 764, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 624, 889, 534
• GCD of 900, 370, 104, 702
• GCD of 536, 162, 135, 627
• GCD of 838, 406, 148, 167
• GCD of 825, 958, 999, 696

Given numbers are 360, 699, 764, 977
The greatest common divisor of numbers 360, 699, 764, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 699, 764, 977 is 1.

1. What is the GCD of 360, 699, 764, 977?

GCD of given numbers 360, 699, 764, 977 is 1

2. How to calculate the greatest common divisor of 360, 699, 764, 977?

We can find the highest common divisor of 360, 699, 764, 977 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, 699, 764, 977 i.e 1.

3. How can I use the GCD of 360, 699, 764, 977Calculator?

Out the numbers 360, 699, 764, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.