GCD of 696, 722, 112, 418 Calculator

Given Input numbers are 696, 722, 112, 418

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

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

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 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

GCD of numbers is the greatest common divisor

So, the GCD (696, 722, 112, 418) = 2.

Given numbers are 696, 722, 112, 418

The list of prime factors of all numbers are

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

Prime factors of 722 are 2 x 19 x 19

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

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 696, 722, 112, 418 is 2.

Given numbers are 696, 722, 112, 418

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

Apply this formula for all numbers.

Step1:

LCM(696, 722) = 251256

GCD(696, 722) = ( 696 x 722 ) / 251256

= 696 / 722

= 696

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2

So, Greatest Common Divisor of 696, 722, 112, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 701, 842, 790
• GCD of 853, 751, 167, 534
• GCD of 821, 143, 316, 962
• GCD of 941, 143, 900, 694
• GCD of 294, 618, 304, 520

Given numbers are 696, 722, 112, 418
The greatest common divisor of numbers 696, 722, 112, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 722, 112, 418 is 2.

1. What is the GCD of 696, 722, 112, 418?

GCD of given numbers 696, 722, 112, 418 is 2

2. How to calculate the greatest common divisor of 696, 722, 112, 418?

We can find the highest common divisor of 696, 722, 112, 418 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 696, 722, 112, 418 i.e 2.

3. How can I use the GCD of 696, 722, 112, 418Calculator?

Out the numbers 696, 722, 112, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.