GCD of 145, 138, 414, 297 Calculator

Given Input numbers are 145, 138, 414, 297

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

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

GCD of numbers is the greatest common divisor

So, the GCD (145, 138, 414, 297) = 1.

Given numbers are 145, 138, 414, 297

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 297 are 3 x 3 x 3 x 11

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

Given numbers are 145, 138, 414, 297

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

Apply this formula for all numbers.

Step1:

LCM(145, 138) = 20010

GCD(145, 138) = ( 145 x 138 ) / 20010

= 145 / 138

= 145

Step2:

LCM(1, 414) = 414

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

= 1 / 414

= 1

Step3:

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

= 1 / 297

= 1

So, Greatest Common Divisor of 145, 138, 414, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 632, 757, 724
• GCD of 925, 925, 113, 179
• GCD of 997, 145, 807, 726
• GCD of 427, 787, 658, 853
• GCD of 655, 727, 272, 628

Given numbers are 145, 138, 414, 297
The greatest common divisor of numbers 145, 138, 414, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 138, 414, 297 is 1.

1. What is the GCD of 145, 138, 414, 297?

GCD of given numbers 145, 138, 414, 297 is 1

2. How to calculate the greatest common divisor of 145, 138, 414, 297?

We can find the highest common divisor of 145, 138, 414, 297 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 145, 138, 414, 297 i.e 1.

3. How can I use the GCD of 145, 138, 414, 297Calculator?

Out the numbers 145, 138, 414, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.