GCD of 106, 309, 698, 620 Calculator

Given Input numbers are 106, 309, 698, 620

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

GCD of numbers is the greatest common divisor

So, the GCD (106, 309, 698, 620) = 1.

Given numbers are 106, 309, 698, 620

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 309 are 3 x 103

Prime factors of 698 are 2 x 349

Prime factors of 620 are 2 x 2 x 5 x 31

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

Given numbers are 106, 309, 698, 620

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

Apply this formula for all numbers.

Step1:

LCM(106, 309) = 32754

GCD(106, 309) = ( 106 x 309 ) / 32754

= 106 / 309

= 106

Step2:

LCM(1, 698) = 698

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

= 1 / 698

= 1

Step3:

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

= 1 / 620

= 1

So, Greatest Common Divisor of 106, 309, 698, 620 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 547, 303, 789
• GCD of 858, 413, 397, 360
• GCD of 580, 116, 249, 246
• GCD of 601, 484, 191, 614
• GCD of 220, 551, 891, 617

Given numbers are 106, 309, 698, 620
The greatest common divisor of numbers 106, 309, 698, 620 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 309, 698, 620 is 1.

1. What is the GCD of 106, 309, 698, 620?

GCD of given numbers 106, 309, 698, 620 is 1

2. How to calculate the greatest common divisor of 106, 309, 698, 620?

We can find the highest common divisor of 106, 309, 698, 620 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, 309, 698, 620 i.e 1.

3. How can I use the GCD of 106, 309, 698, 620Calculator?

Out the numbers 106, 309, 698, 620 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.