GCD of 360, 530, 100 Calculator

Given Input numbers are 360, 530, 100

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (360, 530, 100) = 10.

Given numbers are 360, 530, 100

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 530 are 2 x 5 x 53

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 360, 530, 100 is 10.

Given numbers are 360, 530, 100

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

Apply this formula for all numbers.

Step1:

LCM(360, 530) = 19080

GCD(360, 530) = ( 360 x 530 ) / 19080

= 360 / 530

= 360

Step2:

LCM(10, 100) = 100

GCD(10, 100) = ( 10 x 100 ) / 100

= 10 / 100

= 10

So, Greatest Common Divisor of 360, 530, 100 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 678, 597
• GCD of 178, 977, 548
• GCD of 404, 292, 908
• GCD of 314, 635, 383
• GCD of 365, 902, 545

Given numbers are 360, 530, 100
The greatest common divisor of numbers 360, 530, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 530, 100 is 10.

1. What is the GCD of 360, 530, 100?

GCD of given numbers 360, 530, 100 is 10

2. How to calculate the greatest common divisor of 360, 530, 100?

We can find the highest common divisor of 360, 530, 100 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, 530, 100 i.e 10.

3. How can I use the GCD of 360, 530, 100Calculator?

Out the numbers 360, 530, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.