GCD of 308, 894, 992, 420 Calculator

Given Input numbers are 308, 894, 992, 420

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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

GCD of numbers is the greatest common divisor

So, the GCD (308, 894, 992, 420) = 2.

Given numbers are 308, 894, 992, 420

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 894 are 2 x 3 x 149

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

The highest common occurrence is 2¹

Therefore, GCD of 308, 894, 992, 420 is 2.

Given numbers are 308, 894, 992, 420

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

Apply this formula for all numbers.

Step1:

LCM(308, 894) = 137676

GCD(308, 894) = ( 308 x 894 ) / 137676

= 308 / 894

= 308

Step2:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

Step3:

LCM(2, 420) = 420

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

= 2 / 420

= 2

So, Greatest Common Divisor of 308, 894, 992, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 909, 821, 564
• GCD of 817, 239, 393, 870
• GCD of 929, 643, 737, 544
• GCD of 347, 408, 770, 855
• GCD of 899, 596, 802, 423

Given numbers are 308, 894, 992, 420
The greatest common divisor of numbers 308, 894, 992, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 894, 992, 420 is 2.

1. What is the GCD of 308, 894, 992, 420?

GCD of given numbers 308, 894, 992, 420 is 2

2. How to calculate the greatest common divisor of 308, 894, 992, 420?

We can find the highest common divisor of 308, 894, 992, 420 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 308, 894, 992, 420 i.e 2.

3. How can I use the GCD of 308, 894, 992, 420Calculator?

Out the numbers 308, 894, 992, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.