GCD of 398, 242, 165, 678 Calculator

Given Input numbers are 398, 242, 165, 678

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (398, 242, 165, 678) = 1.

Given numbers are 398, 242, 165, 678

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 242 are 2 x 11 x 11

Prime factors of 165 are 3 x 5 x 11

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 398, 242, 165, 678

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

Apply this formula for all numbers.

Step1:

LCM(398, 242) = 48158

GCD(398, 242) = ( 398 x 242 ) / 48158

= 398 / 242

= 398

Step2:

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

= 2 / 165

= 2

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 398, 242, 165, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 626, 516, 735
• GCD of 664, 106, 219, 137
• GCD of 598, 165, 901, 535
• GCD of 493, 850, 865, 773
• GCD of 691, 648, 141, 190

Given numbers are 398, 242, 165, 678
The greatest common divisor of numbers 398, 242, 165, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 242, 165, 678 is 1.

1. What is the GCD of 398, 242, 165, 678?

GCD of given numbers 398, 242, 165, 678 is 1

2. How to calculate the greatest common divisor of 398, 242, 165, 678?

We can find the highest common divisor of 398, 242, 165, 678 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, 242, 165, 678 i.e 1.

3. How can I use the GCD of 398, 242, 165, 678Calculator?

Out the numbers 398, 242, 165, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.