GCD of 138, 177, 240, 993 Calculator

Given Input numbers are 138, 177, 240, 993

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 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (138, 177, 240, 993) = 3.

Given numbers are 138, 177, 240, 993

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 177 are 3 x 59

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 993 are 3 x 331

The highest common occurrence is 3¹

Therefore, GCD of 138, 177, 240, 993 is 3.

Given numbers are 138, 177, 240, 993

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

Apply this formula for all numbers.

Step1:

LCM(138, 177) = 8142

GCD(138, 177) = ( 138 x 177 ) / 8142

= 138 / 177

= 138

Step2:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

Step3:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

So, Greatest Common Divisor of 138, 177, 240, 993 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 305, 803, 827
• GCD of 590, 950, 819, 963
• GCD of 756, 937, 840, 989
• GCD of 991, 951, 362, 249
• GCD of 297, 353, 186, 950

Given numbers are 138, 177, 240, 993
The greatest common divisor of numbers 138, 177, 240, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 177, 240, 993 is 3.

1. What is the GCD of 138, 177, 240, 993?

GCD of given numbers 138, 177, 240, 993 is 3

2. How to calculate the greatest common divisor of 138, 177, 240, 993?

We can find the highest common divisor of 138, 177, 240, 993 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, 177, 240, 993 i.e 3.

3. How can I use the GCD of 138, 177, 240, 993Calculator?

Out the numbers 138, 177, 240, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.