GCD of 138, 867, 434, 414 Calculator

Given Input numbers are 138, 867, 434, 414

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 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (138, 867, 434, 414) = 1.

Given numbers are 138, 867, 434, 414

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 867 are 3 x 17 x 17

Prime factors of 434 are 2 x 7 x 31

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 138, 867, 434, 414

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

Apply this formula for all numbers.

Step1:

LCM(138, 867) = 39882

GCD(138, 867) = ( 138 x 867 ) / 39882

= 138 / 867

= 138

Step2:

LCM(3, 434) = 1302

GCD(3, 434) = ( 3 x 434 ) / 1302

= 3 / 434

= 3

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 138, 867, 434, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 972, 618, 179
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• GCD of 890, 845, 199, 736
• GCD of 637, 736, 186, 399
• GCD of 233, 564, 343, 605

Given numbers are 138, 867, 434, 414
The greatest common divisor of numbers 138, 867, 434, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 867, 434, 414 is 1.

1. What is the GCD of 138, 867, 434, 414?

GCD of given numbers 138, 867, 434, 414 is 1

2. How to calculate the greatest common divisor of 138, 867, 434, 414?

We can find the highest common divisor of 138, 867, 434, 414 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, 867, 434, 414 i.e 1.

3. How can I use the GCD of 138, 867, 434, 414Calculator?

Out the numbers 138, 867, 434, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.