GCD of 214, 648, 942, 996 Calculator

Given Input numbers are 214, 648, 942, 996

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

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

GCD of numbers is the greatest common divisor

So, the GCD (214, 648, 942, 996) = 2.

Given numbers are 214, 648, 942, 996

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 942 are 2 x 3 x 157

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

The highest common occurrence is 2¹

Therefore, GCD of 214, 648, 942, 996 is 2.

Given numbers are 214, 648, 942, 996

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

Apply this formula for all numbers.

Step1:

LCM(214, 648) = 69336

GCD(214, 648) = ( 214 x 648 ) / 69336

= 214 / 648

= 214

Step2:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 214, 648, 942, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 299, 909, 209
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• GCD of 857, 718, 753, 900
• GCD of 410, 968, 189, 621

Given numbers are 214, 648, 942, 996
The greatest common divisor of numbers 214, 648, 942, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 648, 942, 996 is 2.

1. What is the GCD of 214, 648, 942, 996?

GCD of given numbers 214, 648, 942, 996 is 2

2. How to calculate the greatest common divisor of 214, 648, 942, 996?

We can find the highest common divisor of 214, 648, 942, 996 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 214, 648, 942, 996 i.e 2.

3. How can I use the GCD of 214, 648, 942, 996Calculator?

Out the numbers 214, 648, 942, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.