GCD of 742, 580, 675, 230 Calculator

Given Input numbers are 742, 580, 675, 230

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

GCD of numbers is the greatest common divisor

So, the GCD (742, 580, 675, 230) = 1.

Given numbers are 742, 580, 675, 230

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 580 are 2 x 2 x 5 x 29

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

Prime factors of 230 are 2 x 5 x 23

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

Given numbers are 742, 580, 675, 230

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

Apply this formula for all numbers.

Step1:

LCM(742, 580) = 215180

GCD(742, 580) = ( 742 x 580 ) / 215180

= 742 / 580

= 742

Step2:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2

Step3:

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

= 1 / 230

= 1

So, Greatest Common Divisor of 742, 580, 675, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 972, 994, 449
• GCD of 161, 143, 427, 198
• GCD of 973, 126, 492, 415
• GCD of 144, 141, 176, 896
• GCD of 915, 263, 923, 173

Given numbers are 742, 580, 675, 230
The greatest common divisor of numbers 742, 580, 675, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 580, 675, 230 is 1.

1. What is the GCD of 742, 580, 675, 230?

GCD of given numbers 742, 580, 675, 230 is 1

2. How to calculate the greatest common divisor of 742, 580, 675, 230?

We can find the highest common divisor of 742, 580, 675, 230 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 742, 580, 675, 230 i.e 1.

3. How can I use the GCD of 742, 580, 675, 230Calculator?

Out the numbers 742, 580, 675, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.