GCD of 407, 123, 72, 674 Calculator

Given Input numbers are 407, 123, 72, 674

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (407, 123, 72, 674) = 1.

Given numbers are 407, 123, 72, 674

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

Prime factors of 123 are 3 x 41

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 674 are 2 x 337

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

Given numbers are 407, 123, 72, 674

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

Apply this formula for all numbers.

Step1:

LCM(407, 123) = 50061

GCD(407, 123) = ( 407 x 123 ) / 50061

= 407 / 123

= 407

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

Step3:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

So, Greatest Common Divisor of 407, 123, 72, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 300, 40, 228
• GCD of 857, 681, 72, 836
• GCD of 585, 607, 26, 450
• GCD of 543, 798, 33, 466
• GCD of 996, 620, 84, 553

Given numbers are 407, 123, 72, 674
The greatest common divisor of numbers 407, 123, 72, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 123, 72, 674 is 1.

1. What is the GCD of 407, 123, 72, 674?

GCD of given numbers 407, 123, 72, 674 is 1

2. How to calculate the greatest common divisor of 407, 123, 72, 674?

We can find the highest common divisor of 407, 123, 72, 674 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, 123, 72, 674 i.e 1.

3. How can I use the GCD of 407, 123, 72, 674Calculator?

Out the numbers 407, 123, 72, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.