GCD of 664, 738, 874, 196 Calculator

Given Input numbers are 664, 738, 874, 196

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

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 (664, 738, 874, 196) = 2.

Given numbers are 664, 738, 874, 196

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 874 are 2 x 19 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 664, 738, 874, 196 is 2.

Given numbers are 664, 738, 874, 196

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

Apply this formula for all numbers.

Step1:

LCM(664, 738) = 245016

GCD(664, 738) = ( 664 x 738 ) / 245016

= 664 / 738

= 664

Step2:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

Step3:

LCM(2, 196) = 196

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

= 2 / 196

= 2

So, Greatest Common Divisor of 664, 738, 874, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 833, 317, 825
• GCD of 686, 879, 434, 971
• GCD of 315, 607, 810, 492
• GCD of 111, 812, 836, 854
• GCD of 729, 834, 442, 309

Given numbers are 664, 738, 874, 196
The greatest common divisor of numbers 664, 738, 874, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 738, 874, 196 is 2.

1. What is the GCD of 664, 738, 874, 196?

GCD of given numbers 664, 738, 874, 196 is 2

2. How to calculate the greatest common divisor of 664, 738, 874, 196?

We can find the highest common divisor of 664, 738, 874, 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 664, 738, 874, 196 i.e 2.

3. How can I use the GCD of 664, 738, 874, 196Calculator?

Out the numbers 664, 738, 874, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.