GCD of 689, 514, 196, 491 Calculator

Given Input numbers are 689, 514, 196, 491

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

GCD of numbers is the greatest common divisor

So, the GCD (689, 514, 196, 491) = 1.

Given numbers are 689, 514, 196, 491

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 514 are 2 x 257

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 491 are 491

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

Given numbers are 689, 514, 196, 491

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

Apply this formula for all numbers.

Step1:

LCM(689, 514) = 354146

GCD(689, 514) = ( 689 x 514 ) / 354146

= 689 / 514

= 689

Step2:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

Step3:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1

So, Greatest Common Divisor of 689, 514, 196, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 948, 765, 911
• GCD of 493, 420, 130, 737
• GCD of 633, 568, 352, 961
• GCD of 658, 629, 554, 705
• GCD of 398, 308, 838, 511

Given numbers are 689, 514, 196, 491
The greatest common divisor of numbers 689, 514, 196, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 514, 196, 491 is 1.

1. What is the GCD of 689, 514, 196, 491?

GCD of given numbers 689, 514, 196, 491 is 1

2. How to calculate the greatest common divisor of 689, 514, 196, 491?

We can find the highest common divisor of 689, 514, 196, 491 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 689, 514, 196, 491 i.e 1.

3. How can I use the GCD of 689, 514, 196, 491Calculator?

Out the numbers 689, 514, 196, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.