GCD of 500, 838, 713, 691 Calculator

Given Input numbers are 500, 838, 713, 691

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

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

GCD of numbers is the greatest common divisor

So, the GCD (500, 838, 713, 691) = 1.

Given numbers are 500, 838, 713, 691

The list of prime factors of all numbers are

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

Prime factors of 838 are 2 x 419

Prime factors of 713 are 23 x 31

Prime factors of 691 are 691

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

Given numbers are 500, 838, 713, 691

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

Apply this formula for all numbers.

Step1:

LCM(500, 838) = 209500

GCD(500, 838) = ( 500 x 838 ) / 209500

= 500 / 838

= 500

Step2:

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

= 2 / 713

= 2

Step3:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1

So, Greatest Common Divisor of 500, 838, 713, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 416, 176, 628
• GCD of 520, 891, 166, 849
• GCD of 166, 322, 394, 206
• GCD of 480, 529, 201, 468
• GCD of 552, 763, 731, 519

Given numbers are 500, 838, 713, 691
The greatest common divisor of numbers 500, 838, 713, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 838, 713, 691 is 1.

1. What is the GCD of 500, 838, 713, 691?

GCD of given numbers 500, 838, 713, 691 is 1

2. How to calculate the greatest common divisor of 500, 838, 713, 691?

We can find the highest common divisor of 500, 838, 713, 691 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 500, 838, 713, 691 i.e 1.

3. How can I use the GCD of 500, 838, 713, 691Calculator?

Out the numbers 500, 838, 713, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.