GCD of 112, 229, 222, 698 Calculator

Given Input numbers are 112, 229, 222, 698

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 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (112, 229, 222, 698) = 1.

Given numbers are 112, 229, 222, 698

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 229 are 229

Prime factors of 222 are 2 x 3 x 37

Prime factors of 698 are 2 x 349

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 112, 229, 222, 698

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

Apply this formula for all numbers.

Step1:

LCM(112, 229) = 25648

GCD(112, 229) = ( 112 x 229 ) / 25648

= 112 / 229

= 112

Step2:

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

= 1 / 222

= 1

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 112, 229, 222, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 389, 777, 719
• GCD of 689, 579, 222, 393
• GCD of 699, 930, 996, 901
• GCD of 367, 996, 659, 470
• GCD of 306, 567, 305, 845

Given numbers are 112, 229, 222, 698
The greatest common divisor of numbers 112, 229, 222, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 229, 222, 698 is 1.

1. What is the GCD of 112, 229, 222, 698?

GCD of given numbers 112, 229, 222, 698 is 1

2. How to calculate the greatest common divisor of 112, 229, 222, 698?

We can find the highest common divisor of 112, 229, 222, 698 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, 229, 222, 698 i.e 1.

3. How can I use the GCD of 112, 229, 222, 698Calculator?

Out the numbers 112, 229, 222, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.