GCD of 109, 867, 314, 662 Calculator

Given Input numbers are 109, 867, 314, 662

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

GCD of numbers is the greatest common divisor

So, the GCD (109, 867, 314, 662) = 1.

Given numbers are 109, 867, 314, 662

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 867 are 3 x 17 x 17

Prime factors of 314 are 2 x 157

Prime factors of 662 are 2 x 331

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

Given numbers are 109, 867, 314, 662

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

Apply this formula for all numbers.

Step1:

LCM(109, 867) = 94503

GCD(109, 867) = ( 109 x 867 ) / 94503

= 109 / 867

= 109

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

= 1 / 662

= 1

So, Greatest Common Divisor of 109, 867, 314, 662 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 178, 314, 839
• GCD of 433, 324, 148, 242
• GCD of 127, 821, 894, 462
• GCD of 585, 299, 177, 154
• GCD of 484, 325, 773, 384

Given numbers are 109, 867, 314, 662
The greatest common divisor of numbers 109, 867, 314, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 867, 314, 662 is 1.

1. What is the GCD of 109, 867, 314, 662?

GCD of given numbers 109, 867, 314, 662 is 1

2. How to calculate the greatest common divisor of 109, 867, 314, 662?

We can find the highest common divisor of 109, 867, 314, 662 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 109, 867, 314, 662 i.e 1.

3. How can I use the GCD of 109, 867, 314, 662Calculator?

Out the numbers 109, 867, 314, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.