GCD of 398, 521, 146, 109 Calculator

Given Input numbers are 398, 521, 146, 109

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 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (398, 521, 146, 109) = 1.

Given numbers are 398, 521, 146, 109

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 521 are 521

Prime factors of 146 are 2 x 73

Prime factors of 109 are 109

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

Given numbers are 398, 521, 146, 109

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

Apply this formula for all numbers.

Step1:

LCM(398, 521) = 207358

GCD(398, 521) = ( 398 x 521 ) / 207358

= 398 / 521

= 398

Step2:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 398, 521, 146, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 677, 956, 305
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Given numbers are 398, 521, 146, 109
The greatest common divisor of numbers 398, 521, 146, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 521, 146, 109 is 1.

1. What is the GCD of 398, 521, 146, 109?

GCD of given numbers 398, 521, 146, 109 is 1

2. How to calculate the greatest common divisor of 398, 521, 146, 109?

We can find the highest common divisor of 398, 521, 146, 109 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, 521, 146, 109 i.e 1.

3. How can I use the GCD of 398, 521, 146, 109Calculator?

Out the numbers 398, 521, 146, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.