GCD of 106, 854, 691, 698 Calculator

Given Input numbers are 106, 854, 691, 698

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (106, 854, 691, 698) = 1.

Given numbers are 106, 854, 691, 698

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 854 are 2 x 7 x 61

Prime factors of 691 are 691

Prime factors of 698 are 2 x 349

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

Given numbers are 106, 854, 691, 698

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

Apply this formula for all numbers.

Step1:

LCM(106, 854) = 45262

GCD(106, 854) = ( 106 x 854 ) / 45262

= 106 / 854

= 106

Step2:

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

= 2 / 691

= 2

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 106, 854, 691, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 786, 636, 701
• GCD of 330, 823, 530, 285
• GCD of 361, 224, 871, 986
• GCD of 348, 940, 600, 105
• GCD of 268, 174, 589, 111

Given numbers are 106, 854, 691, 698
The greatest common divisor of numbers 106, 854, 691, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 854, 691, 698 is 1.

1. What is the GCD of 106, 854, 691, 698?

GCD of given numbers 106, 854, 691, 698 is 1

2. How to calculate the greatest common divisor of 106, 854, 691, 698?

We can find the highest common divisor of 106, 854, 691, 698 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 106, 854, 691, 698 i.e 1.

3. How can I use the GCD of 106, 854, 691, 698Calculator?

Out the numbers 106, 854, 691, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.