GCD of 152, 268, 836, 814 Calculator

Given Input numbers are 152, 268, 836, 814

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (152, 268, 836, 814) = 2.

Given numbers are 152, 268, 836, 814

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 268 are 2 x 2 x 67

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 152, 268, 836, 814 is 2.

Given numbers are 152, 268, 836, 814

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

Apply this formula for all numbers.

Step1:

LCM(152, 268) = 10184

GCD(152, 268) = ( 152 x 268 ) / 10184

= 152 / 268

= 152

Step2:

LCM(4, 836) = 836

GCD(4, 836) = ( 4 x 836 ) / 836

= 4 / 836

= 4

Step3:

LCM(4, 814) = 1628

GCD(4, 814) = ( 4 x 814 ) / 1628

= 4 / 814

= 4

So, Greatest Common Divisor of 152, 268, 836, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 986, 647, 670
• GCD of 139, 963, 616, 251
• GCD of 169, 829, 924, 729
• GCD of 865, 668, 647, 460
• GCD of 737, 979, 369, 442

Given numbers are 152, 268, 836, 814
The greatest common divisor of numbers 152, 268, 836, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 268, 836, 814 is 2.

1. What is the GCD of 152, 268, 836, 814?

GCD of given numbers 152, 268, 836, 814 is 2

2. How to calculate the greatest common divisor of 152, 268, 836, 814?

We can find the highest common divisor of 152, 268, 836, 814 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 152, 268, 836, 814 i.e 2.

3. How can I use the GCD of 152, 268, 836, 814Calculator?

Out the numbers 152, 268, 836, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.