GCD of 384, 196, 294, 954 Calculator

Given Input numbers are 384, 196, 294, 954

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (384, 196, 294, 954) = 2.

Given numbers are 384, 196, 294, 954

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 384, 196, 294, 954 is 2.

Given numbers are 384, 196, 294, 954

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

Apply this formula for all numbers.

Step1:

LCM(384, 196) = 18816

GCD(384, 196) = ( 384 x 196 ) / 18816

= 384 / 196

= 384

Step2:

LCM(4, 294) = 588

GCD(4, 294) = ( 4 x 294 ) / 588

= 4 / 294

= 4

Step3:

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

= 2 / 954

= 2

So, Greatest Common Divisor of 384, 196, 294, 954 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 245, 549, 750
• GCD of 713, 675, 619, 559
• GCD of 352, 985, 502, 271
• GCD of 501, 108, 748, 921
• GCD of 626, 140, 678, 698

Given numbers are 384, 196, 294, 954
The greatest common divisor of numbers 384, 196, 294, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 196, 294, 954 is 2.

1. What is the GCD of 384, 196, 294, 954?

GCD of given numbers 384, 196, 294, 954 is 2

2. How to calculate the greatest common divisor of 384, 196, 294, 954?

We can find the highest common divisor of 384, 196, 294, 954 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 384, 196, 294, 954 i.e 2.

3. How can I use the GCD of 384, 196, 294, 954Calculator?

Out the numbers 384, 196, 294, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.