GCD of 154, 196, 135, 204 Calculator

Given Input numbers are 154, 196, 135, 204

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (154, 196, 135, 204) = 1.

Given numbers are 154, 196, 135, 204

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 204 are 2 x 2 x 3 x 17

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

Given numbers are 154, 196, 135, 204

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

Apply this formula for all numbers.

Step1:

LCM(154, 196) = 2156

GCD(154, 196) = ( 154 x 196 ) / 2156

= 154 / 196

= 154

Step2:

LCM(14, 135) = 1890

GCD(14, 135) = ( 14 x 135 ) / 1890

= 14 / 135

= 14

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 154, 196, 135, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 903, 232, 559
• GCD of 193, 660, 560, 425
• GCD of 206, 486, 337, 561
• GCD of 485, 684, 694, 702
• GCD of 430, 572, 846, 621

Given numbers are 154, 196, 135, 204
The greatest common divisor of numbers 154, 196, 135, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 196, 135, 204 is 1.

1. What is the GCD of 154, 196, 135, 204?

GCD of given numbers 154, 196, 135, 204 is 1

2. How to calculate the greatest common divisor of 154, 196, 135, 204?

We can find the highest common divisor of 154, 196, 135, 204 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 154, 196, 135, 204 i.e 1.

3. How can I use the GCD of 154, 196, 135, 204Calculator?

Out the numbers 154, 196, 135, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.