GCD of 800, 977, 983, 360 Calculator

Given Input numbers are 800, 977, 983, 360

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 977 :

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

1, 977

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

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

GCD of numbers is the greatest common divisor

So, the GCD (800, 977, 983, 360) = 1.

Given numbers are 800, 977, 983, 360

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 977 are 977

Prime factors of 983 are 983

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

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

Given numbers are 800, 977, 983, 360

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

Apply this formula for all numbers.

Step1:

LCM(800, 977) = 781600

GCD(800, 977) = ( 800 x 977 ) / 781600

= 800 / 977

= 800

Step2:

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

= 1 / 983

= 1

Step3:

LCM(1, 360) = 360

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

= 1 / 360

= 1

So, Greatest Common Divisor of 800, 977, 983, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 732, 650, 718
• GCD of 377, 244, 975, 250
• GCD of 605, 726, 497, 542
• GCD of 799, 328, 536, 579
• GCD of 763, 637, 536, 905

Given numbers are 800, 977, 983, 360
The greatest common divisor of numbers 800, 977, 983, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 977, 983, 360 is 1.

1. What is the GCD of 800, 977, 983, 360?

GCD of given numbers 800, 977, 983, 360 is 1

2. How to calculate the greatest common divisor of 800, 977, 983, 360?

We can find the highest common divisor of 800, 977, 983, 360 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 800, 977, 983, 360 i.e 1.

3. How can I use the GCD of 800, 977, 983, 360Calculator?

Out the numbers 800, 977, 983, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.