GCD of 749, 675, 499, 221 Calculator

Given Input numbers are 749, 675, 499, 221

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 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 499 :

The positive integer divisors of 499 that completely divides 499 are.

1, 499

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (749, 675, 499, 221) = 1.

Given numbers are 749, 675, 499, 221

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

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

Prime factors of 499 are 499

Prime factors of 221 are 13 x 17

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

Given numbers are 749, 675, 499, 221

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

Apply this formula for all numbers.

Step1:

LCM(749, 675) = 505575

GCD(749, 675) = ( 749 x 675 ) / 505575

= 749 / 675

= 749

Step2:

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

= 1 / 499

= 1

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 749, 675, 499, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 487, 239, 221
• GCD of 563, 330, 406, 131
• GCD of 707, 615, 723, 204
• GCD of 398, 936, 913, 621
• GCD of 462, 732, 173, 154

Given numbers are 749, 675, 499, 221
The greatest common divisor of numbers 749, 675, 499, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 675, 499, 221 is 1.

1. What is the GCD of 749, 675, 499, 221?

GCD of given numbers 749, 675, 499, 221 is 1

2. How to calculate the greatest common divisor of 749, 675, 499, 221?

We can find the highest common divisor of 749, 675, 499, 221 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, 675, 499, 221 i.e 1.

3. How can I use the GCD of 749, 675, 499, 221Calculator?

Out the numbers 749, 675, 499, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.