GCD of 642, 304, 966, 196 Calculator

Given Input numbers are 642, 304, 966, 196

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 196 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (642, 304, 966, 196) = 2.

Given numbers are 642, 304, 966, 196

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 966 are 2 x 3 x 7 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 642, 304, 966, 196 is 2.

Given numbers are 642, 304, 966, 196

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

Apply this formula for all numbers.

Step1:

LCM(642, 304) = 97584

GCD(642, 304) = ( 642 x 304 ) / 97584

= 642 / 304

= 642

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

So, Greatest Common Divisor of 642, 304, 966, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 794, 838, 216
• GCD of 462, 712, 474, 308
• GCD of 692, 187, 548, 457
• GCD of 688, 291, 801, 876
• GCD of 164, 390, 584, 224

Given numbers are 642, 304, 966, 196
The greatest common divisor of numbers 642, 304, 966, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 304, 966, 196 is 2.

1. What is the GCD of 642, 304, 966, 196?

GCD of given numbers 642, 304, 966, 196 is 2

2. How to calculate the greatest common divisor of 642, 304, 966, 196?

We can find the highest common divisor of 642, 304, 966, 196 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 642, 304, 966, 196 i.e 2.

3. How can I use the GCD of 642, 304, 966, 196Calculator?

Out the numbers 642, 304, 966, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.