GCD of 493, 420, 262 Calculator

Given Input numbers are 493, 420, 262

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

GCD of numbers is the greatest common divisor

So, the GCD (493, 420, 262) = 1.

Given numbers are 493, 420, 262

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 262 are 2 x 131

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

Given numbers are 493, 420, 262

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

Apply this formula for all numbers.

Step1:

LCM(493, 420) = 207060

GCD(493, 420) = ( 493 x 420 ) / 207060

= 493 / 420

= 493

Step2:

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

= 1 / 262

= 1

So, Greatest Common Divisor of 493, 420, 262 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 443, 212
• GCD of 243, 502, 745
• GCD of 827, 181, 829
• GCD of 123, 426, 491
• GCD of 970, 612, 491

Given numbers are 493, 420, 262
The greatest common divisor of numbers 493, 420, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 420, 262 is 1.

1. What is the GCD of 493, 420, 262?

GCD of given numbers 493, 420, 262 is 1

2. How to calculate the greatest common divisor of 493, 420, 262?

We can find the highest common divisor of 493, 420, 262 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, 420, 262 i.e 1.

3. How can I use the GCD of 493, 420, 262Calculator?

Out the numbers 493, 420, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.