GCD of 426, 159, 312, 882 Calculator

Given Input numbers are 426, 159, 312, 882

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (426, 159, 312, 882) = 3.

Given numbers are 426, 159, 312, 882

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 159 are 3 x 53

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 426, 159, 312, 882 is 3.

Given numbers are 426, 159, 312, 882

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

Apply this formula for all numbers.

Step1:

LCM(426, 159) = 22578

GCD(426, 159) = ( 426 x 159 ) / 22578

= 426 / 159

= 426

Step2:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

Step3:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3

So, Greatest Common Divisor of 426, 159, 312, 882 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 949, 153, 761
• GCD of 388, 507, 374, 424
• GCD of 234, 145, 354, 970
• GCD of 581, 449, 995, 432
• GCD of 497, 190, 198, 511

Given numbers are 426, 159, 312, 882
The greatest common divisor of numbers 426, 159, 312, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 159, 312, 882 is 3.

1. What is the GCD of 426, 159, 312, 882?

GCD of given numbers 426, 159, 312, 882 is 3

2. How to calculate the greatest common divisor of 426, 159, 312, 882?

We can find the highest common divisor of 426, 159, 312, 882 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, 159, 312, 882 i.e 3.

3. How can I use the GCD of 426, 159, 312, 882Calculator?

Out the numbers 426, 159, 312, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.