GCD of 825, 686, 114, 590 Calculator

Given Input numbers are 825, 686, 114, 590

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

GCD of numbers is the greatest common divisor

So, the GCD (825, 686, 114, 590) = 1.

Given numbers are 825, 686, 114, 590

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 114 are 2 x 3 x 19

Prime factors of 590 are 2 x 5 x 59

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

Given numbers are 825, 686, 114, 590

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

Apply this formula for all numbers.

Step1:

LCM(825, 686) = 565950

GCD(825, 686) = ( 825 x 686 ) / 565950

= 825 / 686

= 825

Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

Step3:

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

= 1 / 590

= 1

So, Greatest Common Divisor of 825, 686, 114, 590 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 814, 125, 462
• GCD of 241, 253, 521, 110
• GCD of 764, 627, 906, 603
• GCD of 734, 890, 450, 797
• GCD of 191, 983, 681, 523

Given numbers are 825, 686, 114, 590
The greatest common divisor of numbers 825, 686, 114, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 686, 114, 590 is 1.

1. What is the GCD of 825, 686, 114, 590?

GCD of given numbers 825, 686, 114, 590 is 1

2. How to calculate the greatest common divisor of 825, 686, 114, 590?

We can find the highest common divisor of 825, 686, 114, 590 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 825, 686, 114, 590 i.e 1.

3. How can I use the GCD of 825, 686, 114, 590Calculator?

Out the numbers 825, 686, 114, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.