GCD of 900, 275, 720, 115 Calculator

Given Input numbers are 900, 275, 720, 115

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

GCD of numbers is the greatest common divisor

So, the GCD (900, 275, 720, 115) = 5.

Given numbers are 900, 275, 720, 115

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 275 are 5 x 5 x 11

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 115 are 5 x 23

The highest common occurrence is 5¹

Therefore, GCD of 900, 275, 720, 115 is 5.

Given numbers are 900, 275, 720, 115

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

Apply this formula for all numbers.

Step1:

LCM(900, 275) = 9900

GCD(900, 275) = ( 900 x 275 ) / 9900

= 900 / 275

= 900

Step2:

LCM(25, 720) = 3600

GCD(25, 720) = ( 25 x 720 ) / 3600

= 25 / 720

= 25

Step3:

LCM(5, 115) = 115

GCD(5, 115) = ( 5 x 115 ) / 115

= 5 / 115

= 5

So, Greatest Common Divisor of 900, 275, 720, 115 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 625, 109, 544
• GCD of 847, 962, 588, 667
• GCD of 100, 580, 676, 118
• GCD of 392, 563, 722, 272
• GCD of 142, 301, 817, 956

Given numbers are 900, 275, 720, 115
The greatest common divisor of numbers 900, 275, 720, 115 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 275, 720, 115 is 5.

1. What is the GCD of 900, 275, 720, 115?

GCD of given numbers 900, 275, 720, 115 is 5

2. How to calculate the greatest common divisor of 900, 275, 720, 115?

We can find the highest common divisor of 900, 275, 720, 115 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 900, 275, 720, 115 i.e 5.

3. How can I use the GCD of 900, 275, 720, 115Calculator?

Out the numbers 900, 275, 720, 115 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.