GCD of 683, 490, 500, 961 Calculator

Given Input numbers are 683, 490, 500, 961

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

Divisors of 683 :

The positive integer divisors of 683 that completely divides 683 are.

1, 683

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (683, 490, 500, 961) = 1.

Given numbers are 683, 490, 500, 961

The list of prime factors of all numbers are

Prime factors of 683 are 683

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 961 are 31 x 31

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

Given numbers are 683, 490, 500, 961

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

Apply this formula for all numbers.

Step1:

LCM(683, 490) = 334670

GCD(683, 490) = ( 683 x 490 ) / 334670

= 683 / 490

= 683

Step2:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 683, 490, 500, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 429, 254, 823
• GCD of 671, 341, 376, 689
• GCD of 426, 728, 534, 106
• GCD of 349, 970, 965, 124
• GCD of 106, 221, 440, 287

Given numbers are 683, 490, 500, 961
The greatest common divisor of numbers 683, 490, 500, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 683, 490, 500, 961 is 1.

1. What is the GCD of 683, 490, 500, 961?

GCD of given numbers 683, 490, 500, 961 is 1

2. How to calculate the greatest common divisor of 683, 490, 500, 961?

We can find the highest common divisor of 683, 490, 500, 961 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 683, 490, 500, 961 i.e 1.

3. How can I use the GCD of 683, 490, 500, 961Calculator?

Out the numbers 683, 490, 500, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.