GCD of 996, 821, 420, 914 Calculator

Given Input numbers are 996, 821, 420, 914

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

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 914 :

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

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (996, 821, 420, 914) = 1.

Given numbers are 996, 821, 420, 914

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 821 are 821

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

Prime factors of 914 are 2 x 457

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

Given numbers are 996, 821, 420, 914

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

Apply this formula for all numbers.

Step1:

LCM(996, 821) = 817716

GCD(996, 821) = ( 996 x 821 ) / 817716

= 996 / 821

= 996

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

So, Greatest Common Divisor of 996, 821, 420, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 722, 928, 977
• GCD of 443, 713, 145, 965
• GCD of 307, 494, 782, 807
• GCD of 352, 116, 868, 392
• GCD of 604, 242, 938, 195

Given numbers are 996, 821, 420, 914
The greatest common divisor of numbers 996, 821, 420, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 821, 420, 914 is 1.

1. What is the GCD of 996, 821, 420, 914?

GCD of given numbers 996, 821, 420, 914 is 1

2. How to calculate the greatest common divisor of 996, 821, 420, 914?

We can find the highest common divisor of 996, 821, 420, 914 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 996, 821, 420, 914 i.e 1.

3. How can I use the GCD of 996, 821, 420, 914Calculator?

Out the numbers 996, 821, 420, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.