GCD of 138, 304, 274, 453 Calculator

Given Input numbers are 138, 304, 274, 453

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

GCD of numbers is the greatest common divisor

So, the GCD (138, 304, 274, 453) = 1.

Given numbers are 138, 304, 274, 453

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 274 are 2 x 137

Prime factors of 453 are 3 x 151

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

Given numbers are 138, 304, 274, 453

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

Apply this formula for all numbers.

Step1:

LCM(138, 304) = 20976

GCD(138, 304) = ( 138 x 304 ) / 20976

= 138 / 304

= 138

Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

Step3:

LCM(2, 453) = 906

GCD(2, 453) = ( 2 x 453 ) / 906

= 2 / 453

= 2

So, Greatest Common Divisor of 138, 304, 274, 453 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 697, 232, 197
• GCD of 364, 978, 575, 292
• GCD of 347, 783, 305, 868
• GCD of 902, 111, 844, 735
• GCD of 177, 912, 349, 167

Given numbers are 138, 304, 274, 453
The greatest common divisor of numbers 138, 304, 274, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 304, 274, 453 is 1.

1. What is the GCD of 138, 304, 274, 453?

GCD of given numbers 138, 304, 274, 453 is 1

2. How to calculate the greatest common divisor of 138, 304, 274, 453?

We can find the highest common divisor of 138, 304, 274, 453 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, 304, 274, 453 i.e 1.

3. How can I use the GCD of 138, 304, 274, 453Calculator?

Out the numbers 138, 304, 274, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.