GCD of 888, 742, 938, 814 Calculator

Given Input numbers are 888, 742, 938, 814

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

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

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 (888, 742, 938, 814) = 2.

Given numbers are 888, 742, 938, 814

The list of prime factors of all numbers are

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 742 are 2 x 7 x 53

Prime factors of 938 are 2 x 7 x 67

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 888, 742, 938, 814 is 2.

Given numbers are 888, 742, 938, 814

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

Apply this formula for all numbers.

Step1:

LCM(888, 742) = 329448

GCD(888, 742) = ( 888 x 742 ) / 329448

= 888 / 742

= 888

Step2:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 888, 742, 938, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 373, 561, 307
• GCD of 125, 261, 409, 164
• GCD of 969, 829, 692, 436
• GCD of 121, 143, 472, 963
• GCD of 333, 286, 896, 388

Given numbers are 888, 742, 938, 814
The greatest common divisor of numbers 888, 742, 938, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 742, 938, 814 is 2.

1. What is the GCD of 888, 742, 938, 814?

GCD of given numbers 888, 742, 938, 814 is 2

2. How to calculate the greatest common divisor of 888, 742, 938, 814?

We can find the highest common divisor of 888, 742, 938, 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 888, 742, 938, 814 i.e 2.

3. How can I use the GCD of 888, 742, 938, 814Calculator?

Out the numbers 888, 742, 938, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.