GCD of 112, 460, 968, 696 Calculator

Given Input numbers are 112, 460, 968, 696

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (112, 460, 968, 696) = 4.

Given numbers are 112, 460, 968, 696

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 460 are 2 x 2 x 5 x 23

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 2²

Therefore, GCD of 112, 460, 968, 696 is 4.

Given numbers are 112, 460, 968, 696

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

Apply this formula for all numbers.

Step1:

LCM(112, 460) = 12880

GCD(112, 460) = ( 112 x 460 ) / 12880

= 112 / 460

= 112

Step2:

LCM(4, 968) = 968

GCD(4, 968) = ( 4 x 968 ) / 968

= 4 / 968

= 4

Step3:

LCM(4, 696) = 696

GCD(4, 696) = ( 4 x 696 ) / 696

= 4 / 696

= 4

So, Greatest Common Divisor of 112, 460, 968, 696 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 208, 470, 714
• GCD of 425, 912, 252, 417
• GCD of 284, 993, 690, 120
• GCD of 135, 287, 987, 191
• GCD of 815, 266, 755, 792

Given numbers are 112, 460, 968, 696
The greatest common divisor of numbers 112, 460, 968, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 460, 968, 696 is 4.

1. What is the GCD of 112, 460, 968, 696?

GCD of given numbers 112, 460, 968, 696 is 4

2. How to calculate the greatest common divisor of 112, 460, 968, 696?

We can find the highest common divisor of 112, 460, 968, 696 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, 460, 968, 696 i.e 4.

3. How can I use the GCD of 112, 460, 968, 696Calculator?

Out the numbers 112, 460, 968, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.