GCD of 842, 138, 912, 456 Calculator

Given Input numbers are 842, 138, 912, 456

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (842, 138, 912, 456) = 2.

Given numbers are 842, 138, 912, 456

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 138 are 2 x 3 x 23

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 842, 138, 912, 456 is 2.

Given numbers are 842, 138, 912, 456

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

Apply this formula for all numbers.

Step1:

LCM(842, 138) = 58098

GCD(842, 138) = ( 842 x 138 ) / 58098

= 842 / 138

= 842

Step2:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2

Step3:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

So, Greatest Common Divisor of 842, 138, 912, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 548, 938, 666
• GCD of 429, 224, 167, 935
• GCD of 154, 356, 919, 354
• GCD of 668, 892, 726, 118
• GCD of 646, 528, 581, 423

Given numbers are 842, 138, 912, 456
The greatest common divisor of numbers 842, 138, 912, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 138, 912, 456 is 2.

1. What is the GCD of 842, 138, 912, 456?

GCD of given numbers 842, 138, 912, 456 is 2

2. How to calculate the greatest common divisor of 842, 138, 912, 456?

We can find the highest common divisor of 842, 138, 912, 456 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 842, 138, 912, 456 i.e 2.

3. How can I use the GCD of 842, 138, 912, 456Calculator?

Out the numbers 842, 138, 912, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.