GCD of 689, 634, 348, 996 Calculator

Given Input numbers are 689, 634, 348, 996

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 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (689, 634, 348, 996) = 1.

Given numbers are 689, 634, 348, 996

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 634 are 2 x 317

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 996 are 2 x 2 x 3 x 83

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

Given numbers are 689, 634, 348, 996

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

Apply this formula for all numbers.

Step1:

LCM(689, 634) = 436826

GCD(689, 634) = ( 689 x 634 ) / 436826

= 689 / 634

= 689

Step2:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1

Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

So, Greatest Common Divisor of 689, 634, 348, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 754, 864, 999
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Given numbers are 689, 634, 348, 996
The greatest common divisor of numbers 689, 634, 348, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 634, 348, 996 is 1.

1. What is the GCD of 689, 634, 348, 996?

GCD of given numbers 689, 634, 348, 996 is 1

2. How to calculate the greatest common divisor of 689, 634, 348, 996?

We can find the highest common divisor of 689, 634, 348, 996 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, 634, 348, 996 i.e 1.

3. How can I use the GCD of 689, 634, 348, 996Calculator?

Out the numbers 689, 634, 348, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.