GCD of 342, 996, 196, 300 Calculator

Given Input numbers are 342, 996, 196, 300

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 196 :

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

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (342, 996, 196, 300) = 2.

Given numbers are 342, 996, 196, 300

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

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

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 342, 996, 196, 300 is 2.

Given numbers are 342, 996, 196, 300

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

Apply this formula for all numbers.

Step1:

LCM(342, 996) = 56772

GCD(342, 996) = ( 342 x 996 ) / 56772

= 342 / 996

= 342

Step2:

LCM(6, 196) = 588

GCD(6, 196) = ( 6 x 196 ) / 588

= 6 / 196

= 6

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 342, 996, 196, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 221, 959, 976
• GCD of 989, 157, 755, 990
• GCD of 153, 489, 959, 499
• GCD of 129, 564, 750, 394
• GCD of 597, 188, 508, 858

Given numbers are 342, 996, 196, 300
The greatest common divisor of numbers 342, 996, 196, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 996, 196, 300 is 2.

1. What is the GCD of 342, 996, 196, 300?

GCD of given numbers 342, 996, 196, 300 is 2

2. How to calculate the greatest common divisor of 342, 996, 196, 300?

We can find the highest common divisor of 342, 996, 196, 300 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 342, 996, 196, 300 i.e 2.

3. How can I use the GCD of 342, 996, 196, 300Calculator?

Out the numbers 342, 996, 196, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.