GCD of 688, 129, 225, 409 Calculator

Given Input numbers are 688, 129, 225, 409

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

GCD of numbers is the greatest common divisor

So, the GCD (688, 129, 225, 409) = 1.

Given numbers are 688, 129, 225, 409

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 129 are 3 x 43

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 409 are 409

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

Given numbers are 688, 129, 225, 409

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

Apply this formula for all numbers.

Step1:

LCM(688, 129) = 2064

GCD(688, 129) = ( 688 x 129 ) / 2064

= 688 / 129

= 688

Step2:

LCM(43, 225) = 9675

GCD(43, 225) = ( 43 x 225 ) / 9675

= 43 / 225

= 43

Step3:

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

= 1 / 409

= 1

So, Greatest Common Divisor of 688, 129, 225, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 290, 160, 787
• GCD of 962, 886, 644, 927
• GCD of 374, 858, 714, 372
• GCD of 182, 332, 928, 883
• GCD of 319, 722, 921, 848

Given numbers are 688, 129, 225, 409
The greatest common divisor of numbers 688, 129, 225, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 129, 225, 409 is 1.

1. What is the GCD of 688, 129, 225, 409?

GCD of given numbers 688, 129, 225, 409 is 1

2. How to calculate the greatest common divisor of 688, 129, 225, 409?

We can find the highest common divisor of 688, 129, 225, 409 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 688, 129, 225, 409 i.e 1.

3. How can I use the GCD of 688, 129, 225, 409Calculator?

Out the numbers 688, 129, 225, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.