GCD of 269, 675, 17, 740 Calculator

Given Input numbers are 269, 675, 17, 740

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (269, 675, 17, 740) = 1.

Given numbers are 269, 675, 17, 740

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 17 are 17

Prime factors of 740 are 2 x 2 x 5 x 37

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

Given numbers are 269, 675, 17, 740

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

Apply this formula for all numbers.

Step1:

LCM(269, 675) = 181575

GCD(269, 675) = ( 269 x 675 ) / 181575

= 269 / 675

= 269

Step2:

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

= 1 / 17

= 1

Step3:

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

= 1 / 740

= 1

So, Greatest Common Divisor of 269, 675, 17, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 259, 35, 853
• GCD of 961, 559, 89, 110
• GCD of 350, 466, 45, 923
• GCD of 649, 361, 57, 317
• GCD of 690, 236, 59, 590

Given numbers are 269, 675, 17, 740
The greatest common divisor of numbers 269, 675, 17, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 675, 17, 740 is 1.

1. What is the GCD of 269, 675, 17, 740?

GCD of given numbers 269, 675, 17, 740 is 1

2. How to calculate the greatest common divisor of 269, 675, 17, 740?

We can find the highest common divisor of 269, 675, 17, 740 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 269, 675, 17, 740 i.e 1.

3. How can I use the GCD of 269, 675, 17, 740Calculator?

Out the numbers 269, 675, 17, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.