GCD of 274, 279, 178, 135 Calculator

Given Input numbers are 274, 279, 178, 135

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

Divisors of 274 :

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

1, 2, 137, 274

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 135 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (274, 279, 178, 135) = 1.

Given numbers are 274, 279, 178, 135

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 279 are 3 x 3 x 31

Prime factors of 178 are 2 x 89

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

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

Given numbers are 274, 279, 178, 135

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

Apply this formula for all numbers.

Step1:

LCM(274, 279) = 76446

GCD(274, 279) = ( 274 x 279 ) / 76446

= 274 / 279

= 274

Step2:

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

= 1 / 178

= 1

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 274, 279, 178, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 746, 616, 947
• GCD of 482, 358, 882, 420
• GCD of 170, 800, 988, 210
• GCD of 420, 409, 904, 492
• GCD of 315, 618, 522, 352

Given numbers are 274, 279, 178, 135
The greatest common divisor of numbers 274, 279, 178, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 279, 178, 135 is 1.

1. What is the GCD of 274, 279, 178, 135?

GCD of given numbers 274, 279, 178, 135 is 1

2. How to calculate the greatest common divisor of 274, 279, 178, 135?

We can find the highest common divisor of 274, 279, 178, 135 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 274, 279, 178, 135 i.e 1.

3. How can I use the GCD of 274, 279, 178, 135Calculator?

Out the numbers 274, 279, 178, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.