GCD of 500, 695, 121, 826 Calculator

Given Input numbers are 500, 695, 121, 826

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 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (500, 695, 121, 826) = 1.

Given numbers are 500, 695, 121, 826

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 695 are 5 x 139

Prime factors of 121 are 11 x 11

Prime factors of 826 are 2 x 7 x 59

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

Given numbers are 500, 695, 121, 826

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

Apply this formula for all numbers.

Step1:

LCM(500, 695) = 69500

GCD(500, 695) = ( 500 x 695 ) / 69500

= 500 / 695

= 500

Step2:

LCM(5, 121) = 605

GCD(5, 121) = ( 5 x 121 ) / 605

= 5 / 121

= 5

Step3:

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

= 1 / 826

= 1

So, Greatest Common Divisor of 500, 695, 121, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 954, 627, 881
• GCD of 616, 778, 289, 517
• GCD of 135, 924, 780, 582
• GCD of 551, 621, 230, 587
• GCD of 669, 169, 843, 539

Given numbers are 500, 695, 121, 826
The greatest common divisor of numbers 500, 695, 121, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 695, 121, 826 is 1.

1. What is the GCD of 500, 695, 121, 826?

GCD of given numbers 500, 695, 121, 826 is 1

2. How to calculate the greatest common divisor of 500, 695, 121, 826?

We can find the highest common divisor of 500, 695, 121, 826 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, 695, 121, 826 i.e 1.

3. How can I use the GCD of 500, 695, 121, 826Calculator?

Out the numbers 500, 695, 121, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.