GCD of 134, 398, 360, 455 Calculator

Given Input numbers are 134, 398, 360, 455

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

GCD of numbers is the greatest common divisor

So, the GCD (134, 398, 360, 455) = 1.

Given numbers are 134, 398, 360, 455

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 398 are 2 x 199

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 455 are 5 x 7 x 13

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

Given numbers are 134, 398, 360, 455

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

Apply this formula for all numbers.

Step1:

LCM(134, 398) = 26666

GCD(134, 398) = ( 134 x 398 ) / 26666

= 134 / 398

= 134

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 455) = 910

GCD(2, 455) = ( 2 x 455 ) / 910

= 2 / 455

= 2

So, Greatest Common Divisor of 134, 398, 360, 455 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 143, 524, 954
• GCD of 319, 339, 731, 395
• GCD of 160, 158, 435, 992
• GCD of 436, 104, 196, 350
• GCD of 120, 724, 715, 182

Given numbers are 134, 398, 360, 455
The greatest common divisor of numbers 134, 398, 360, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 398, 360, 455 is 1.

1. What is the GCD of 134, 398, 360, 455?

GCD of given numbers 134, 398, 360, 455 is 1

2. How to calculate the greatest common divisor of 134, 398, 360, 455?

We can find the highest common divisor of 134, 398, 360, 455 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 134, 398, 360, 455 i.e 1.

3. How can I use the GCD of 134, 398, 360, 455Calculator?

Out the numbers 134, 398, 360, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.