GCD of 196, 132, 752, 800 Calculator

Given Input numbers are 196, 132, 752, 800

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (196, 132, 752, 800) = 4.

Given numbers are 196, 132, 752, 800

The list of prime factors of all numbers are

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

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 196, 132, 752, 800 is 4.

Given numbers are 196, 132, 752, 800

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

Apply this formula for all numbers.

Step1:

LCM(196, 132) = 6468

GCD(196, 132) = ( 196 x 132 ) / 6468

= 196 / 132

= 196

Step2:

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

= 4 / 752

= 4

Step3:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

So, Greatest Common Divisor of 196, 132, 752, 800 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 879, 643, 111
• GCD of 237, 734, 160, 136
• GCD of 475, 855, 539, 656
• GCD of 336, 490, 637, 460
• GCD of 174, 510, 936, 721

Given numbers are 196, 132, 752, 800
The greatest common divisor of numbers 196, 132, 752, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 132, 752, 800 is 4.

1. What is the GCD of 196, 132, 752, 800?

GCD of given numbers 196, 132, 752, 800 is 4

2. How to calculate the greatest common divisor of 196, 132, 752, 800?

We can find the highest common divisor of 196, 132, 752, 800 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, 132, 752, 800 i.e 4.

3. How can I use the GCD of 196, 132, 752, 800Calculator?

Out the numbers 196, 132, 752, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.