GCD of 196, 742, 208, 468 Calculator

Given Input numbers are 196, 742, 208, 468

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

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (196, 742, 208, 468) = 2.

Given numbers are 196, 742, 208, 468

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 196, 742, 208, 468 is 2.

Given numbers are 196, 742, 208, 468

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

Apply this formula for all numbers.

Step1:

LCM(196, 742) = 10388

GCD(196, 742) = ( 196 x 742 ) / 10388

= 196 / 742

= 196

Step2:

LCM(14, 208) = 1456

GCD(14, 208) = ( 14 x 208 ) / 1456

= 14 / 208

= 14

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 196, 742, 208, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 235, 961, 650
• GCD of 268, 869, 156, 936
• GCD of 597, 942, 989, 146
• GCD of 977, 260, 286, 657
• GCD of 339, 718, 189, 922

Given numbers are 196, 742, 208, 468
The greatest common divisor of numbers 196, 742, 208, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 742, 208, 468 is 2.

1. What is the GCD of 196, 742, 208, 468?

GCD of given numbers 196, 742, 208, 468 is 2

2. How to calculate the greatest common divisor of 196, 742, 208, 468?

We can find the highest common divisor of 196, 742, 208, 468 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 196, 742, 208, 468 i.e 2.

3. How can I use the GCD of 196, 742, 208, 468Calculator?

Out the numbers 196, 742, 208, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.