GCD of 870, 225, 775, 900 Calculator

Given Input numbers are 870, 225, 775, 900

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

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

GCD of numbers is the greatest common divisor

So, the GCD (870, 225, 775, 900) = 5.

Given numbers are 870, 225, 775, 900

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 775 are 5 x 5 x 31

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

The highest common occurrence is 5¹

Therefore, GCD of 870, 225, 775, 900 is 5.

Given numbers are 870, 225, 775, 900

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

Apply this formula for all numbers.

Step1:

LCM(870, 225) = 13050

GCD(870, 225) = ( 870 x 225 ) / 13050

= 870 / 225

= 870

Step2:

LCM(15, 775) = 2325

GCD(15, 775) = ( 15 x 775 ) / 2325

= 15 / 775

= 15

Step3:

LCM(5, 900) = 900

GCD(5, 900) = ( 5 x 900 ) / 900

= 5 / 900

= 5

So, Greatest Common Divisor of 870, 225, 775, 900 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 268, 797, 357
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Given numbers are 870, 225, 775, 900
The greatest common divisor of numbers 870, 225, 775, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 225, 775, 900 is 5.

1. What is the GCD of 870, 225, 775, 900?

GCD of given numbers 870, 225, 775, 900 is 5

2. How to calculate the greatest common divisor of 870, 225, 775, 900?

We can find the highest common divisor of 870, 225, 775, 900 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 870, 225, 775, 900 i.e 5.

3. How can I use the GCD of 870, 225, 775, 900Calculator?

Out the numbers 870, 225, 775, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.