GCD of 214, 393, 698, 109 Calculator

Given Input numbers are 214, 393, 698, 109

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 109 :

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

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (214, 393, 698, 109) = 1.

Given numbers are 214, 393, 698, 109

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 393 are 3 x 131

Prime factors of 698 are 2 x 349

Prime factors of 109 are 109

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

Given numbers are 214, 393, 698, 109

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

Apply this formula for all numbers.

Step1:

LCM(214, 393) = 84102

GCD(214, 393) = ( 214 x 393 ) / 84102

= 214 / 393

= 214

Step2:

LCM(1, 698) = 698

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

= 1 / 698

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 214, 393, 698, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 587, 163, 499
• GCD of 761, 742, 648, 654
• GCD of 918, 804, 304, 347
• GCD of 970, 187, 287, 985
• GCD of 805, 993, 686, 528

Given numbers are 214, 393, 698, 109
The greatest common divisor of numbers 214, 393, 698, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 393, 698, 109 is 1.

1. What is the GCD of 214, 393, 698, 109?

GCD of given numbers 214, 393, 698, 109 is 1

2. How to calculate the greatest common divisor of 214, 393, 698, 109?

We can find the highest common divisor of 214, 393, 698, 109 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 214, 393, 698, 109 i.e 1.

3. How can I use the GCD of 214, 393, 698, 109Calculator?

Out the numbers 214, 393, 698, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.