GCD of 138, 961, 400, 411 Calculator

Given Input numbers are 138, 961, 400, 411

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 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

GCD of numbers is the greatest common divisor

So, the GCD (138, 961, 400, 411) = 1.

Given numbers are 138, 961, 400, 411

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 961 are 31 x 31

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 411 are 3 x 137

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

Given numbers are 138, 961, 400, 411

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

Apply this formula for all numbers.

Step1:

LCM(138, 961) = 132618

GCD(138, 961) = ( 138 x 961 ) / 132618

= 138 / 961

= 138

Step2:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

Step3:

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

= 1 / 411

= 1

So, Greatest Common Divisor of 138, 961, 400, 411 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 543, 441, 874
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Given numbers are 138, 961, 400, 411
The greatest common divisor of numbers 138, 961, 400, 411 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 961, 400, 411 is 1.

1. What is the GCD of 138, 961, 400, 411?

GCD of given numbers 138, 961, 400, 411 is 1

2. How to calculate the greatest common divisor of 138, 961, 400, 411?

We can find the highest common divisor of 138, 961, 400, 411 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, 961, 400, 411 i.e 1.

3. How can I use the GCD of 138, 961, 400, 411Calculator?

Out the numbers 138, 961, 400, 411 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.