GCD of 381, 696, 942, 219 Calculator

Given Input numbers are 381, 696, 942, 219

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 942 :

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

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

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

GCD of numbers is the greatest common divisor

So, the GCD (381, 696, 942, 219) = 3.

Given numbers are 381, 696, 942, 219

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 942 are 2 x 3 x 157

Prime factors of 219 are 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 381, 696, 942, 219 is 3.

Given numbers are 381, 696, 942, 219

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

Apply this formula for all numbers.

Step1:

LCM(381, 696) = 88392

GCD(381, 696) = ( 381 x 696 ) / 88392

= 381 / 696

= 381

Step2:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

Step3:

LCM(3, 219) = 219

GCD(3, 219) = ( 3 x 219 ) / 219

= 3 / 219

= 3

So, Greatest Common Divisor of 381, 696, 942, 219 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 875, 125, 614
• GCD of 976, 727, 314, 674
• GCD of 711, 999, 733, 774
• GCD of 376, 614, 737, 714
• GCD of 157, 238, 753, 427

Given numbers are 381, 696, 942, 219
The greatest common divisor of numbers 381, 696, 942, 219 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 696, 942, 219 is 3.

1. What is the GCD of 381, 696, 942, 219?

GCD of given numbers 381, 696, 942, 219 is 3

2. How to calculate the greatest common divisor of 381, 696, 942, 219?

We can find the highest common divisor of 381, 696, 942, 219 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 381, 696, 942, 219 i.e 3.

3. How can I use the GCD of 381, 696, 942, 219Calculator?

Out the numbers 381, 696, 942, 219 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.