GCD of 749, 225, 255, 989 Calculator

Given Input numbers are 749, 225, 255, 989

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

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 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (749, 225, 255, 989) = 1.

Given numbers are 749, 225, 255, 989

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

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

Prime factors of 255 are 3 x 5 x 17

Prime factors of 989 are 23 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 749, 225, 255, 989

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

Apply this formula for all numbers.

Step1:

LCM(749, 225) = 168525

GCD(749, 225) = ( 749 x 225 ) / 168525

= 749 / 225

= 749

Step2:

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

= 1 / 255

= 1

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 749, 225, 255, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 146, 428, 659
• GCD of 561, 504, 380, 767
• GCD of 162, 354, 828, 110
• GCD of 314, 767, 555, 521
• GCD of 304, 135, 633, 337

Given numbers are 749, 225, 255, 989
The greatest common divisor of numbers 749, 225, 255, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 225, 255, 989 is 1.

1. What is the GCD of 749, 225, 255, 989?

GCD of given numbers 749, 225, 255, 989 is 1

2. How to calculate the greatest common divisor of 749, 225, 255, 989?

We can find the highest common divisor of 749, 225, 255, 989 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 749, 225, 255, 989 i.e 1.

3. How can I use the GCD of 749, 225, 255, 989Calculator?

Out the numbers 749, 225, 255, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.