GCD of 408, 949, 14, 725 Calculator

Given Input numbers are 408, 949, 14, 725

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (408, 949, 14, 725) = 1.

Given numbers are 408, 949, 14, 725

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 949 are 13 x 73

Prime factors of 14 are 2 x 7

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 408, 949, 14, 725

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

Apply this formula for all numbers.

Step1:

LCM(408, 949) = 387192

GCD(408, 949) = ( 408 x 949 ) / 387192

= 408 / 949

= 408

Step2:

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

= 1 / 14

= 1

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 408, 949, 14, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 348, 49, 876
• GCD of 370, 302, 75, 165
• GCD of 283, 488, 50, 459
• GCD of 451, 718, 33, 586
• GCD of 663, 484, 42, 284

Given numbers are 408, 949, 14, 725
The greatest common divisor of numbers 408, 949, 14, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 949, 14, 725 is 1.

1. What is the GCD of 408, 949, 14, 725?

GCD of given numbers 408, 949, 14, 725 is 1

2. How to calculate the greatest common divisor of 408, 949, 14, 725?

We can find the highest common divisor of 408, 949, 14, 725 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 408, 949, 14, 725 i.e 1.

3. How can I use the GCD of 408, 949, 14, 725Calculator?

Out the numbers 408, 949, 14, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.