GCD of 398, 349, 256, 625 Calculator

Given Input numbers are 398, 349, 256, 625

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

GCD of numbers is the greatest common divisor

So, the GCD (398, 349, 256, 625) = 1.

Given numbers are 398, 349, 256, 625

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 349 are 349

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 625 are 5 x 5 x 5 x 5

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

Given numbers are 398, 349, 256, 625

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

Apply this formula for all numbers.

Step1:

LCM(398, 349) = 138902

GCD(398, 349) = ( 398 x 349 ) / 138902

= 398 / 349

= 398

Step2:

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

= 1 / 256

= 1

Step3:

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

= 1 / 625

= 1

So, Greatest Common Divisor of 398, 349, 256, 625 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 424, 971, 349
• GCD of 812, 542, 119, 816
• GCD of 937, 109, 438, 833
• GCD of 885, 284, 709, 781
• GCD of 738, 783, 923, 995

Given numbers are 398, 349, 256, 625
The greatest common divisor of numbers 398, 349, 256, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 349, 256, 625 is 1.

1. What is the GCD of 398, 349, 256, 625?

GCD of given numbers 398, 349, 256, 625 is 1

2. How to calculate the greatest common divisor of 398, 349, 256, 625?

We can find the highest common divisor of 398, 349, 256, 625 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 398, 349, 256, 625 i.e 1.

3. How can I use the GCD of 398, 349, 256, 625Calculator?

Out the numbers 398, 349, 256, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.