GCD of 407, 440, 199, 749 Calculator

Given Input numbers are 407, 440, 199, 749

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (407, 440, 199, 749) = 1.

Given numbers are 407, 440, 199, 749

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 199 are 199

Prime factors of 749 are 7 x 107

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

Given numbers are 407, 440, 199, 749

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

Apply this formula for all numbers.

Step1:

LCM(407, 440) = 16280

GCD(407, 440) = ( 407 x 440 ) / 16280

= 407 / 440

= 407

Step2:

LCM(11, 199) = 2189

GCD(11, 199) = ( 11 x 199 ) / 2189

= 11 / 199

= 11

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 407, 440, 199, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 163, 141, 217
• GCD of 406, 772, 631, 384
• GCD of 387, 278, 278, 181
• GCD of 651, 772, 472, 248
• GCD of 555, 330, 495, 387

Given numbers are 407, 440, 199, 749
The greatest common divisor of numbers 407, 440, 199, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 440, 199, 749 is 1.

1. What is the GCD of 407, 440, 199, 749?

GCD of given numbers 407, 440, 199, 749 is 1

2. How to calculate the greatest common divisor of 407, 440, 199, 749?

We can find the highest common divisor of 407, 440, 199, 749 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 407, 440, 199, 749 i.e 1.

3. How can I use the GCD of 407, 440, 199, 749Calculator?

Out the numbers 407, 440, 199, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.