GCD of 690, 110, 242, 823 Calculator

Given Input numbers are 690, 110, 242, 823

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (690, 110, 242, 823) = 1.

Given numbers are 690, 110, 242, 823

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 110 are 2 x 5 x 11

Prime factors of 242 are 2 x 11 x 11

Prime factors of 823 are 823

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

Given numbers are 690, 110, 242, 823

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

Apply this formula for all numbers.

Step1:

LCM(690, 110) = 7590

GCD(690, 110) = ( 690 x 110 ) / 7590

= 690 / 110

= 690

Step2:

LCM(10, 242) = 1210

GCD(10, 242) = ( 10 x 242 ) / 1210

= 10 / 242

= 10

Step3:

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

= 2 / 823

= 2

So, Greatest Common Divisor of 690, 110, 242, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 637, 681, 620
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Given numbers are 690, 110, 242, 823
The greatest common divisor of numbers 690, 110, 242, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 110, 242, 823 is 1.

1. What is the GCD of 690, 110, 242, 823?

GCD of given numbers 690, 110, 242, 823 is 1

2. How to calculate the greatest common divisor of 690, 110, 242, 823?

We can find the highest common divisor of 690, 110, 242, 823 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 690, 110, 242, 823 i.e 1.

3. How can I use the GCD of 690, 110, 242, 823Calculator?

Out the numbers 690, 110, 242, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.