GCD of 135, 891, 914, 126 Calculator

Given Input numbers are 135, 891, 914, 126

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

Divisors of 135 :

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

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (135, 891, 914, 126) = 1.

Given numbers are 135, 891, 914, 126

The list of prime factors of all numbers are

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

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 914 are 2 x 457

Prime factors of 126 are 2 x 3 x 3 x 7

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

Given numbers are 135, 891, 914, 126

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

Apply this formula for all numbers.

Step1:

LCM(135, 891) = 4455

GCD(135, 891) = ( 135 x 891 ) / 4455

= 135 / 891

= 135

Step2:

LCM(27, 914) = 24678

GCD(27, 914) = ( 27 x 914 ) / 24678

= 27 / 914

= 27

Step3:

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

= 1 / 126

= 1

So, Greatest Common Divisor of 135, 891, 914, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 978, 935, 257
• GCD of 957, 380, 128, 469
• GCD of 968, 602, 584, 768
• GCD of 402, 298, 600, 483
• GCD of 776, 394, 277, 454

Given numbers are 135, 891, 914, 126
The greatest common divisor of numbers 135, 891, 914, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 891, 914, 126 is 1.

1. What is the GCD of 135, 891, 914, 126?

GCD of given numbers 135, 891, 914, 126 is 1

2. How to calculate the greatest common divisor of 135, 891, 914, 126?

We can find the highest common divisor of 135, 891, 914, 126 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 135, 891, 914, 126 i.e 1.

3. How can I use the GCD of 135, 891, 914, 126Calculator?

Out the numbers 135, 891, 914, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.