GCD of 132, 277, 114, 361 Calculator

Given Input numbers are 132, 277, 114, 361

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

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 277 :

The positive integer divisors of 277 that completely divides 277 are.

1, 277

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (132, 277, 114, 361) = 1.

Given numbers are 132, 277, 114, 361

The list of prime factors of all numbers are

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

Prime factors of 277 are 277

Prime factors of 114 are 2 x 3 x 19

Prime factors of 361 are 19 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 132, 277, 114, 361

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

Apply this formula for all numbers.

Step1:

LCM(132, 277) = 36564

GCD(132, 277) = ( 132 x 277 ) / 36564

= 132 / 277

= 132

Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 132, 277, 114, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 809, 417, 180
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• GCD of 259, 499, 166, 504
• GCD of 145, 350, 847, 985
• GCD of 566, 160, 631, 642

Given numbers are 132, 277, 114, 361
The greatest common divisor of numbers 132, 277, 114, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 277, 114, 361 is 1.

1. What is the GCD of 132, 277, 114, 361?

GCD of given numbers 132, 277, 114, 361 is 1

2. How to calculate the greatest common divisor of 132, 277, 114, 361?

We can find the highest common divisor of 132, 277, 114, 361 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 132, 277, 114, 361 i.e 1.

3. How can I use the GCD of 132, 277, 114, 361Calculator?

Out the numbers 132, 277, 114, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.