GCD of 225, 680, 190, 765 Calculator

Given Input numbers are 225, 680, 190, 765

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

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (225, 680, 190, 765) = 5.

Given numbers are 225, 680, 190, 765

The list of prime factors of all numbers are

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 190 are 2 x 5 x 19

Prime factors of 765 are 3 x 3 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 225, 680, 190, 765 is 5.

Given numbers are 225, 680, 190, 765

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

Apply this formula for all numbers.

Step1:

LCM(225, 680) = 30600

GCD(225, 680) = ( 225 x 680 ) / 30600

= 225 / 680

= 225

Step2:

LCM(5, 190) = 190

GCD(5, 190) = ( 5 x 190 ) / 190

= 5 / 190

= 5

Step3:

LCM(5, 765) = 765

GCD(5, 765) = ( 5 x 765 ) / 765

= 5 / 765

= 5

So, Greatest Common Divisor of 225, 680, 190, 765 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 314, 627, 333
• GCD of 185, 268, 776, 222
• GCD of 651, 633, 866, 128
• GCD of 532, 906, 581, 870
• GCD of 493, 355, 576, 434

Given numbers are 225, 680, 190, 765
The greatest common divisor of numbers 225, 680, 190, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 680, 190, 765 is 5.

1. What is the GCD of 225, 680, 190, 765?

GCD of given numbers 225, 680, 190, 765 is 5

2. How to calculate the greatest common divisor of 225, 680, 190, 765?

We can find the highest common divisor of 225, 680, 190, 765 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 225, 680, 190, 765 i.e 5.

3. How can I use the GCD of 225, 680, 190, 765Calculator?

Out the numbers 225, 680, 190, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.