GCD of 689, 348, 686, 553 Calculator

Given Input numbers are 689, 348, 686, 553

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 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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

GCD of numbers is the greatest common divisor

So, the GCD (689, 348, 686, 553) = 1.

Given numbers are 689, 348, 686, 553

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 553 are 7 x 79

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

Given numbers are 689, 348, 686, 553

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

Apply this formula for all numbers.

Step1:

LCM(689, 348) = 239772

GCD(689, 348) = ( 689 x 348 ) / 239772

= 689 / 348

= 689

Step2:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1

Step3:

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

= 1 / 553

= 1

So, Greatest Common Divisor of 689, 348, 686, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 804, 948, 624
• GCD of 287, 871, 618, 939
• GCD of 589, 872, 662, 673
• GCD of 577, 356, 967, 470
• GCD of 971, 309, 487, 226

Given numbers are 689, 348, 686, 553
The greatest common divisor of numbers 689, 348, 686, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 348, 686, 553 is 1.

1. What is the GCD of 689, 348, 686, 553?

GCD of given numbers 689, 348, 686, 553 is 1

2. How to calculate the greatest common divisor of 689, 348, 686, 553?

We can find the highest common divisor of 689, 348, 686, 553 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, 348, 686, 553 i.e 1.

3. How can I use the GCD of 689, 348, 686, 553Calculator?

Out the numbers 689, 348, 686, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.