GCD of 892, 108, 114, 988 Calculator

Given Input numbers are 892, 108, 114, 988

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (892, 108, 114, 988) = 2.

Given numbers are 892, 108, 114, 988

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 114 are 2 x 3 x 19

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 892, 108, 114, 988 is 2.

Given numbers are 892, 108, 114, 988

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

Apply this formula for all numbers.

Step1:

LCM(892, 108) = 24084

GCD(892, 108) = ( 892 x 108 ) / 24084

= 892 / 108

= 892

Step2:

LCM(4, 114) = 228

GCD(4, 114) = ( 4 x 114 ) / 228

= 4 / 114

= 4

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 892, 108, 114, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 600, 753, 626
• GCD of 549, 476, 808, 269
• GCD of 510, 621, 878, 827
• GCD of 111, 656, 350, 923
• GCD of 217, 557, 440, 176

Given numbers are 892, 108, 114, 988
The greatest common divisor of numbers 892, 108, 114, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 108, 114, 988 is 2.

1. What is the GCD of 892, 108, 114, 988?

GCD of given numbers 892, 108, 114, 988 is 2

2. How to calculate the greatest common divisor of 892, 108, 114, 988?

We can find the highest common divisor of 892, 108, 114, 988 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 892, 108, 114, 988 i.e 2.

3. How can I use the GCD of 892, 108, 114, 988Calculator?

Out the numbers 892, 108, 114, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.