GCD of 493, 226, 421, 971 Calculator

Given Input numbers are 493, 226, 421, 971

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 421 :

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

1, 421

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (493, 226, 421, 971) = 1.

Given numbers are 493, 226, 421, 971

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 226 are 2 x 113

Prime factors of 421 are 421

Prime factors of 971 are 971

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

Given numbers are 493, 226, 421, 971

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

Apply this formula for all numbers.

Step1:

LCM(493, 226) = 111418

GCD(493, 226) = ( 493 x 226 ) / 111418

= 493 / 226

= 493

Step2:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 493, 226, 421, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 632, 485, 191
• GCD of 920, 903, 292, 783
• GCD of 914, 428, 608, 426
• GCD of 382, 976, 118, 170
• GCD of 649, 663, 308, 665

Given numbers are 493, 226, 421, 971
The greatest common divisor of numbers 493, 226, 421, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 226, 421, 971 is 1.

1. What is the GCD of 493, 226, 421, 971?

GCD of given numbers 493, 226, 421, 971 is 1

2. How to calculate the greatest common divisor of 493, 226, 421, 971?

We can find the highest common divisor of 493, 226, 421, 971 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 493, 226, 421, 971 i.e 1.

3. How can I use the GCD of 493, 226, 421, 971Calculator?

Out the numbers 493, 226, 421, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.