GCD of 426, 891, 303, 117 Calculator

Given Input numbers are 426, 891, 303, 117

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (426, 891, 303, 117) = 3.

Given numbers are 426, 891, 303, 117

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

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

Prime factors of 303 are 3 x 101

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 426, 891, 303, 117 is 3.

Given numbers are 426, 891, 303, 117

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

Apply this formula for all numbers.

Step1:

LCM(426, 891) = 126522

GCD(426, 891) = ( 426 x 891 ) / 126522

= 426 / 891

= 426

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

So, Greatest Common Divisor of 426, 891, 303, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 601, 929, 753
• GCD of 999, 387, 897, 337
• GCD of 966, 663, 198, 788
• GCD of 746, 373, 824, 764
• GCD of 211, 636, 511, 522

Given numbers are 426, 891, 303, 117
The greatest common divisor of numbers 426, 891, 303, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 891, 303, 117 is 3.

1. What is the GCD of 426, 891, 303, 117?

GCD of given numbers 426, 891, 303, 117 is 3

2. How to calculate the greatest common divisor of 426, 891, 303, 117?

We can find the highest common divisor of 426, 891, 303, 117 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 426, 891, 303, 117 i.e 3.

3. How can I use the GCD of 426, 891, 303, 117Calculator?

Out the numbers 426, 891, 303, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.