GCD of 138, 200, 54, 295 Calculator

Given Input numbers are 138, 200, 54, 295

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

GCD of numbers is the greatest common divisor

So, the GCD (138, 200, 54, 295) = 1.

Given numbers are 138, 200, 54, 295

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 295 are 5 x 59

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

Given numbers are 138, 200, 54, 295

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

Apply this formula for all numbers.

Step1:

LCM(138, 200) = 13800

GCD(138, 200) = ( 138 x 200 ) / 13800

= 138 / 200

= 138

Step2:

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

= 2 / 54

= 2

Step3:

LCM(2, 295) = 590

GCD(2, 295) = ( 2 x 295 ) / 590

= 2 / 295

= 2

So, Greatest Common Divisor of 138, 200, 54, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 318, 34, 834
• GCD of 706, 369, 20, 863
• GCD of 358, 307, 57, 130
• GCD of 221, 684, 85, 674
• GCD of 731, 740, 74, 365

Given numbers are 138, 200, 54, 295
The greatest common divisor of numbers 138, 200, 54, 295 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 200, 54, 295 is 1.

1. What is the GCD of 138, 200, 54, 295?

GCD of given numbers 138, 200, 54, 295 is 1

2. How to calculate the greatest common divisor of 138, 200, 54, 295?

We can find the highest common divisor of 138, 200, 54, 295 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, 200, 54, 295 i.e 1.

3. How can I use the GCD of 138, 200, 54, 295Calculator?

Out the numbers 138, 200, 54, 295 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.