GCD of 360, 760, 955, 500 Calculator

Given Input numbers are 360, 760, 955, 500

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (360, 760, 955, 500) = 5.

Given numbers are 360, 760, 955, 500

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 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 955 are 5 x 191

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 360, 760, 955, 500 is 5.

Given numbers are 360, 760, 955, 500

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

Apply this formula for all numbers.

Step1:

LCM(360, 760) = 6840

GCD(360, 760) = ( 360 x 760 ) / 6840

= 360 / 760

= 360

Step2:

LCM(40, 955) = 7640

GCD(40, 955) = ( 40 x 955 ) / 7640

= 40 / 955

= 40

Step3:

LCM(5, 500) = 500

GCD(5, 500) = ( 5 x 500 ) / 500

= 5 / 500

= 5

So, Greatest Common Divisor of 360, 760, 955, 500 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 252, 966, 943
• GCD of 548, 233, 159, 157
• GCD of 865, 354, 307, 644
• GCD of 990, 979, 270, 598
• GCD of 595, 531, 978, 280

Given numbers are 360, 760, 955, 500
The greatest common divisor of numbers 360, 760, 955, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 760, 955, 500 is 5.

1. What is the GCD of 360, 760, 955, 500?

GCD of given numbers 360, 760, 955, 500 is 5

2. How to calculate the greatest common divisor of 360, 760, 955, 500?

We can find the highest common divisor of 360, 760, 955, 500 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, 760, 955, 500 i.e 5.

3. How can I use the GCD of 360, 760, 955, 500Calculator?

Out the numbers 360, 760, 955, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.