GCD of 381, 177, 84, 141 Calculator

Given Input numbers are 381, 177, 84, 141

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 177 :

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

1, 3, 59, 177

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (381, 177, 84, 141) = 3.

Given numbers are 381, 177, 84, 141

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 177 are 3 x 59

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 141 are 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 381, 177, 84, 141 is 3.

Given numbers are 381, 177, 84, 141

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

Apply this formula for all numbers.

Step1:

LCM(381, 177) = 22479

GCD(381, 177) = ( 381 x 177 ) / 22479

= 381 / 177

= 381

Step2:

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

= 3 / 84

= 3

Step3:

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

= 3 / 141

= 3

So, Greatest Common Divisor of 381, 177, 84, 141 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 180, 22, 476
• GCD of 563, 988, 64, 227
• GCD of 703, 152, 44, 777
• GCD of 892, 767, 92, 931
• GCD of 987, 249, 22, 325

Given numbers are 381, 177, 84, 141
The greatest common divisor of numbers 381, 177, 84, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 177, 84, 141 is 3.

1. What is the GCD of 381, 177, 84, 141?

GCD of given numbers 381, 177, 84, 141 is 3

2. How to calculate the greatest common divisor of 381, 177, 84, 141?

We can find the highest common divisor of 381, 177, 84, 141 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 381, 177, 84, 141 i.e 3.

3. How can I use the GCD of 381, 177, 84, 141Calculator?

Out the numbers 381, 177, 84, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.