GCD of 814, 676, 665, 242 Calculator

Given Input numbers are 814, 676, 665, 242

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (814, 676, 665, 242) = 1.

Given numbers are 814, 676, 665, 242

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 665 are 5 x 7 x 19

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 814, 676, 665, 242

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

Apply this formula for all numbers.

Step1:

LCM(814, 676) = 275132

GCD(814, 676) = ( 814 x 676 ) / 275132

= 814 / 676

= 814

Step2:

LCM(2, 665) = 1330

GCD(2, 665) = ( 2 x 665 ) / 1330

= 2 / 665

= 2

Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

So, Greatest Common Divisor of 814, 676, 665, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 386, 107, 105
• GCD of 368, 523, 834, 496
• GCD of 393, 216, 648, 280
• GCD of 997, 375, 260, 728
• GCD of 341, 487, 163, 106

Given numbers are 814, 676, 665, 242
The greatest common divisor of numbers 814, 676, 665, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 676, 665, 242 is 1.

1. What is the GCD of 814, 676, 665, 242?

GCD of given numbers 814, 676, 665, 242 is 1

2. How to calculate the greatest common divisor of 814, 676, 665, 242?

We can find the highest common divisor of 814, 676, 665, 242 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 814, 676, 665, 242 i.e 1.

3. How can I use the GCD of 814, 676, 665, 242Calculator?

Out the numbers 814, 676, 665, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.