GCD of 123, 686, 697, 470 Calculator

Given Input numbers are 123, 686, 697, 470

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 686 :

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

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

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (123, 686, 697, 470) = 1.

Given numbers are 123, 686, 697, 470

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

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

Prime factors of 697 are 17 x 41

Prime factors of 470 are 2 x 5 x 47

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

Given numbers are 123, 686, 697, 470

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

Apply this formula for all numbers.

Step1:

LCM(123, 686) = 84378

GCD(123, 686) = ( 123 x 686 ) / 84378

= 123 / 686

= 123

Step2:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

Step3:

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

= 1 / 470

= 1

So, Greatest Common Divisor of 123, 686, 697, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 755, 329, 533
• GCD of 596, 825, 166, 995
• GCD of 121, 676, 491, 638
• GCD of 144, 550, 242, 223
• GCD of 195, 557, 267, 418

Given numbers are 123, 686, 697, 470
The greatest common divisor of numbers 123, 686, 697, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 686, 697, 470 is 1.

1. What is the GCD of 123, 686, 697, 470?

GCD of given numbers 123, 686, 697, 470 is 1

2. How to calculate the greatest common divisor of 123, 686, 697, 470?

We can find the highest common divisor of 123, 686, 697, 470 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 123, 686, 697, 470 i.e 1.

3. How can I use the GCD of 123, 686, 697, 470Calculator?

Out the numbers 123, 686, 697, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.