GCD of 148, 116, 996 Calculator

Given Input numbers are 148, 116, 996

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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

GCD of numbers is the greatest common divisor

So, the GCD (148, 116, 996) = 4.

Given numbers are 148, 116, 996

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 116 are 2 x 2 x 29

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

The highest common occurrence is 2²

Therefore, GCD of 148, 116, 996 is 4.

Given numbers are 148, 116, 996

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

Apply this formula for all numbers.

Step1:

LCM(148, 116) = 4292

GCD(148, 116) = ( 148 x 116 ) / 4292

= 148 / 116

= 148

Step2:

LCM(4, 996) = 996

GCD(4, 996) = ( 4 x 996 ) / 996

= 4 / 996

= 4

So, Greatest Common Divisor of 148, 116, 996 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 385, 470
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Given numbers are 148, 116, 996
The greatest common divisor of numbers 148, 116, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 116, 996 is 4.

1. What is the GCD of 148, 116, 996?

GCD of given numbers 148, 116, 996 is 4

2. How to calculate the greatest common divisor of 148, 116, 996?

We can find the highest common divisor of 148, 116, 996 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 148, 116, 996 i.e 4.

3. How can I use the GCD of 148, 116, 996Calculator?

Out the numbers 148, 116, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.