GCD of 214, 698, 355, 702 Calculator

Given Input numbers are 214, 698, 355, 702

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 698 :

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

1, 2, 349, 698

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (214, 698, 355, 702) = 1.

Given numbers are 214, 698, 355, 702

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 698 are 2 x 349

Prime factors of 355 are 5 x 71

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Given numbers are 214, 698, 355, 702

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

Apply this formula for all numbers.

Step1:

LCM(214, 698) = 74686

GCD(214, 698) = ( 214 x 698 ) / 74686

= 214 / 698

= 214

Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1

So, Greatest Common Divisor of 214, 698, 355, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 606, 171, 793
• GCD of 747, 701, 403, 458
• GCD of 925, 940, 340, 147
• GCD of 821, 571, 519, 307
• GCD of 537, 589, 760, 505

Given numbers are 214, 698, 355, 702
The greatest common divisor of numbers 214, 698, 355, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 698, 355, 702 is 1.

1. What is the GCD of 214, 698, 355, 702?

GCD of given numbers 214, 698, 355, 702 is 1

2. How to calculate the greatest common divisor of 214, 698, 355, 702?

We can find the highest common divisor of 214, 698, 355, 702 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, 698, 355, 702 i.e 1.

3. How can I use the GCD of 214, 698, 355, 702Calculator?

Out the numbers 214, 698, 355, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.