GCD of 407, 484, 668, 742 Calculator

Given Input numbers are 407, 484, 668, 742

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (407, 484, 668, 742) = 1.

Given numbers are 407, 484, 668, 742

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 668 are 2 x 2 x 167

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 407, 484, 668, 742

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

Apply this formula for all numbers.

Step1:

LCM(407, 484) = 17908

GCD(407, 484) = ( 407 x 484 ) / 17908

= 407 / 484

= 407

Step2:

LCM(11, 668) = 7348

GCD(11, 668) = ( 11 x 668 ) / 7348

= 11 / 668

= 11

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 407, 484, 668, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 518, 823, 676
• GCD of 703, 875, 986, 260
• GCD of 911, 978, 941, 536
• GCD of 404, 599, 592, 479
• GCD of 238, 508, 385, 397

Given numbers are 407, 484, 668, 742
The greatest common divisor of numbers 407, 484, 668, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 484, 668, 742 is 1.

1. What is the GCD of 407, 484, 668, 742?

GCD of given numbers 407, 484, 668, 742 is 1

2. How to calculate the greatest common divisor of 407, 484, 668, 742?

We can find the highest common divisor of 407, 484, 668, 742 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, 484, 668, 742 i.e 1.

3. How can I use the GCD of 407, 484, 668, 742Calculator?

Out the numbers 407, 484, 668, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.