GCD of 235, 421, 728, 998 Calculator

Given Input numbers are 235, 421, 728, 998

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (235, 421, 728, 998) = 1.

Given numbers are 235, 421, 728, 998

The list of prime factors of all numbers are

Prime factors of 235 are 5 x 47

Prime factors of 421 are 421

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 998 are 2 x 499

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

Given numbers are 235, 421, 728, 998

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

Apply this formula for all numbers.

Step1:

LCM(235, 421) = 98935

GCD(235, 421) = ( 235 x 421 ) / 98935

= 235 / 421

= 235

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 235, 421, 728, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 682, 979, 207
• GCD of 659, 328, 248, 729
• GCD of 636, 606, 243, 668
• GCD of 428, 695, 239, 647
• GCD of 900, 886, 725, 812

Given numbers are 235, 421, 728, 998
The greatest common divisor of numbers 235, 421, 728, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 421, 728, 998 is 1.

1. What is the GCD of 235, 421, 728, 998?

GCD of given numbers 235, 421, 728, 998 is 1

2. How to calculate the greatest common divisor of 235, 421, 728, 998?

We can find the highest common divisor of 235, 421, 728, 998 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 235, 421, 728, 998 i.e 1.

3. How can I use the GCD of 235, 421, 728, 998Calculator?

Out the numbers 235, 421, 728, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.