GCD of 112, 959, 987 Calculator

Given Input numbers are 112, 959, 987

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (112, 959, 987) = 7.

Given numbers are 112, 959, 987

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 959 are 7 x 137

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 7¹

Therefore, GCD of 112, 959, 987 is 7.

Given numbers are 112, 959, 987

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

Apply this formula for all numbers.

Step1:

LCM(112, 959) = 15344

GCD(112, 959) = ( 112 x 959 ) / 15344

= 112 / 959

= 112

Step2:

LCM(7, 987) = 987

GCD(7, 987) = ( 7 x 987 ) / 987

= 7 / 987

= 7

So, Greatest Common Divisor of 112, 959, 987 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 177, 951
• GCD of 791, 304, 183
• GCD of 823, 322, 741
• GCD of 784, 695, 186
• GCD of 148, 433, 676

Given numbers are 112, 959, 987
The greatest common divisor of numbers 112, 959, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 959, 987 is 7.

1. What is the GCD of 112, 959, 987?

GCD of given numbers 112, 959, 987 is 7

2. How to calculate the greatest common divisor of 112, 959, 987?

We can find the highest common divisor of 112, 959, 987 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 112, 959, 987 i.e 7.

3. How can I use the GCD of 112, 959, 987Calculator?

Out the numbers 112, 959, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.