GCD of 138, 981, 457 Calculator

Given Input numbers are 138, 981, 457

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 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

GCD of numbers is the greatest common divisor

So, the GCD (138, 981, 457) = 1.

Given numbers are 138, 981, 457

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 981 are 3 x 3 x 109

Prime factors of 457 are 457

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

Given numbers are 138, 981, 457

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

Apply this formula for all numbers.

Step1:

LCM(138, 981) = 45126

GCD(138, 981) = ( 138 x 981 ) / 45126

= 138 / 981

= 138

Step2:

LCM(3, 457) = 1371

GCD(3, 457) = ( 3 x 457 ) / 1371

= 3 / 457

= 3

So, Greatest Common Divisor of 138, 981, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 377, 261
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Given numbers are 138, 981, 457
The greatest common divisor of numbers 138, 981, 457 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 981, 457 is 1.

1. What is the GCD of 138, 981, 457?

GCD of given numbers 138, 981, 457 is 1

2. How to calculate the greatest common divisor of 138, 981, 457?

We can find the highest common divisor of 138, 981, 457 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, 981, 457 i.e 1.

3. How can I use the GCD of 138, 981, 457Calculator?

Out the numbers 138, 981, 457 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.