GCD of 344, 400, 554, 655 Calculator

Given Input numbers are 344, 400, 554, 655

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

GCD of numbers is the greatest common divisor

So, the GCD (344, 400, 554, 655) = 1.

Given numbers are 344, 400, 554, 655

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 554 are 2 x 277

Prime factors of 655 are 5 x 131

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

Given numbers are 344, 400, 554, 655

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

Apply this formula for all numbers.

Step1:

LCM(344, 400) = 17200

GCD(344, 400) = ( 344 x 400 ) / 17200

= 344 / 400

= 344

Step2:

LCM(8, 554) = 2216

GCD(8, 554) = ( 8 x 554 ) / 2216

= 8 / 554

= 8

Step3:

LCM(2, 655) = 1310

GCD(2, 655) = ( 2 x 655 ) / 1310

= 2 / 655

= 2

So, Greatest Common Divisor of 344, 400, 554, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 960, 790, 965
• GCD of 607, 507, 687, 981
• GCD of 541, 480, 881, 611
• GCD of 160, 998, 470, 649
• GCD of 412, 290, 475, 271

Given numbers are 344, 400, 554, 655
The greatest common divisor of numbers 344, 400, 554, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 400, 554, 655 is 1.

1. What is the GCD of 344, 400, 554, 655?

GCD of given numbers 344, 400, 554, 655 is 1

2. How to calculate the greatest common divisor of 344, 400, 554, 655?

We can find the highest common divisor of 344, 400, 554, 655 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 344, 400, 554, 655 i.e 1.

3. How can I use the GCD of 344, 400, 554, 655Calculator?

Out the numbers 344, 400, 554, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.