GCD of 169, 312, 685, 462 Calculator

Given Input numbers are 169, 312, 685, 462

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

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (169, 312, 685, 462) = 1.

Given numbers are 169, 312, 685, 462

The list of prime factors of all numbers are

Prime factors of 169 are 13 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 685 are 5 x 137

Prime factors of 462 are 2 x 3 x 7 x 11

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

Given numbers are 169, 312, 685, 462

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

Apply this formula for all numbers.

Step1:

LCM(169, 312) = 4056

GCD(169, 312) = ( 169 x 312 ) / 4056

= 169 / 312

= 169

Step2:

LCM(13, 685) = 8905

GCD(13, 685) = ( 13 x 685 ) / 8905

= 13 / 685

= 13

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 169, 312, 685, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 975, 561, 861
• GCD of 801, 214, 174, 363
• GCD of 686, 224, 789, 447
• GCD of 441, 829, 107, 526
• GCD of 425, 563, 223, 532

Given numbers are 169, 312, 685, 462
The greatest common divisor of numbers 169, 312, 685, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 312, 685, 462 is 1.

1. What is the GCD of 169, 312, 685, 462?

GCD of given numbers 169, 312, 685, 462 is 1

2. How to calculate the greatest common divisor of 169, 312, 685, 462?

We can find the highest common divisor of 169, 312, 685, 462 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 169, 312, 685, 462 i.e 1.

3. How can I use the GCD of 169, 312, 685, 462Calculator?

Out the numbers 169, 312, 685, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.