GCD of 138, 332, 766, 992 Calculator

Given Input numbers are 138, 332, 766, 992

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (138, 332, 766, 992) = 2.

Given numbers are 138, 332, 766, 992

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 332 are 2 x 2 x 83

Prime factors of 766 are 2 x 383

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 138, 332, 766, 992 is 2.

Given numbers are 138, 332, 766, 992

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

Apply this formula for all numbers.

Step1:

LCM(138, 332) = 22908

GCD(138, 332) = ( 138 x 332 ) / 22908

= 138 / 332

= 138

Step2:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 138, 332, 766, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 457, 368, 834
• GCD of 806, 499, 232, 159
• GCD of 644, 202, 882, 656
• GCD of 629, 118, 768, 446
• GCD of 608, 324, 137, 161

Given numbers are 138, 332, 766, 992
The greatest common divisor of numbers 138, 332, 766, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 332, 766, 992 is 2.

1. What is the GCD of 138, 332, 766, 992?

GCD of given numbers 138, 332, 766, 992 is 2

2. How to calculate the greatest common divisor of 138, 332, 766, 992?

We can find the highest common divisor of 138, 332, 766, 992 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 138, 332, 766, 992 i.e 2.

3. How can I use the GCD of 138, 332, 766, 992Calculator?

Out the numbers 138, 332, 766, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.