GCD of 312, 914, 420, 689 Calculator

Given Input numbers are 312, 914, 420, 689

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

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 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (312, 914, 420, 689) = 1.

Given numbers are 312, 914, 420, 689

The list of prime factors of all numbers are

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

Prime factors of 914 are 2 x 457

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 689 are 13 x 53

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

Given numbers are 312, 914, 420, 689

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

Apply this formula for all numbers.

Step1:

LCM(312, 914) = 142584

GCD(312, 914) = ( 312 x 914 ) / 142584

= 312 / 914

= 312

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 312, 914, 420, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 292, 931, 892
• GCD of 352, 369, 872, 162
• GCD of 254, 454, 166, 820
• GCD of 158, 111, 253, 563
• GCD of 342, 632, 333, 333

Given numbers are 312, 914, 420, 689
The greatest common divisor of numbers 312, 914, 420, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 914, 420, 689 is 1.

1. What is the GCD of 312, 914, 420, 689?

GCD of given numbers 312, 914, 420, 689 is 1

2. How to calculate the greatest common divisor of 312, 914, 420, 689?

We can find the highest common divisor of 312, 914, 420, 689 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 312, 914, 420, 689 i.e 1.

3. How can I use the GCD of 312, 914, 420, 689Calculator?

Out the numbers 312, 914, 420, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.