GCD of 112, 968, 884, 786 Calculator

Given Input numbers are 112, 968, 884, 786

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 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

GCD of numbers is the greatest common divisor

So, the GCD (112, 968, 884, 786) = 2.

Given numbers are 112, 968, 884, 786

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 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 786 are 2 x 3 x 131

The highest common occurrence is 2¹

Therefore, GCD of 112, 968, 884, 786 is 2.

Given numbers are 112, 968, 884, 786

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

Apply this formula for all numbers.

Step1:

LCM(112, 968) = 13552

GCD(112, 968) = ( 112 x 968 ) / 13552

= 112 / 968

= 112

Step2:

LCM(8, 884) = 1768

GCD(8, 884) = ( 8 x 884 ) / 1768

= 8 / 884

= 8

Step3:

LCM(4, 786) = 1572

GCD(4, 786) = ( 4 x 786 ) / 1572

= 4 / 786

= 4

So, Greatest Common Divisor of 112, 968, 884, 786 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 651, 459, 732
• GCD of 858, 773, 332, 534
• GCD of 952, 722, 821, 734
• GCD of 617, 520, 463, 771
• GCD of 813, 153, 897, 487

Given numbers are 112, 968, 884, 786
The greatest common divisor of numbers 112, 968, 884, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 968, 884, 786 is 2.

1. What is the GCD of 112, 968, 884, 786?

GCD of given numbers 112, 968, 884, 786 is 2

2. How to calculate the greatest common divisor of 112, 968, 884, 786?

We can find the highest common divisor of 112, 968, 884, 786 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, 968, 884, 786 i.e 2.

3. How can I use the GCD of 112, 968, 884, 786Calculator?

Out the numbers 112, 968, 884, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.