GCD of 493, 821, 707, 946 Calculator

Given Input numbers are 493, 821, 707, 946

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 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (493, 821, 707, 946) = 1.

Given numbers are 493, 821, 707, 946

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 821 are 821

Prime factors of 707 are 7 x 101

Prime factors of 946 are 2 x 11 x 43

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

Given numbers are 493, 821, 707, 946

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

Apply this formula for all numbers.

Step1:

LCM(493, 821) = 404753

GCD(493, 821) = ( 493 x 821 ) / 404753

= 493 / 821

= 493

Step2:

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

= 1 / 707

= 1

Step3:

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

= 1 / 946

= 1

So, Greatest Common Divisor of 493, 821, 707, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 727, 381, 343
• GCD of 253, 684, 833, 464
• GCD of 461, 717, 143, 484
• GCD of 829, 654, 158, 406
• GCD of 331, 752, 493, 384

Given numbers are 493, 821, 707, 946
The greatest common divisor of numbers 493, 821, 707, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 821, 707, 946 is 1.

1. What is the GCD of 493, 821, 707, 946?

GCD of given numbers 493, 821, 707, 946 is 1

2. How to calculate the greatest common divisor of 493, 821, 707, 946?

We can find the highest common divisor of 493, 821, 707, 946 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, 821, 707, 946 i.e 1.

3. How can I use the GCD of 493, 821, 707, 946Calculator?

Out the numbers 493, 821, 707, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.