GCD of 112, 357, 218, 577 Calculator

Given Input numbers are 112, 357, 218, 577

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 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

GCD of numbers is the greatest common divisor

So, the GCD (112, 357, 218, 577) = 1.

Given numbers are 112, 357, 218, 577

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 357 are 3 x 7 x 17

Prime factors of 218 are 2 x 109

Prime factors of 577 are 577

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

Given numbers are 112, 357, 218, 577

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

Apply this formula for all numbers.

Step1:

LCM(112, 357) = 5712

GCD(112, 357) = ( 112 x 357 ) / 5712

= 112 / 357

= 112

Step2:

LCM(7, 218) = 1526

GCD(7, 218) = ( 7 x 218 ) / 1526

= 7 / 218

= 7

Step3:

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

= 1 / 577

= 1

So, Greatest Common Divisor of 112, 357, 218, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 665, 678, 107
• GCD of 363, 959, 624, 287
• GCD of 585, 261, 781, 421
• GCD of 432, 336, 127, 646
• GCD of 789, 960, 406, 722

Given numbers are 112, 357, 218, 577
The greatest common divisor of numbers 112, 357, 218, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 357, 218, 577 is 1.

1. What is the GCD of 112, 357, 218, 577?

GCD of given numbers 112, 357, 218, 577 is 1

2. How to calculate the greatest common divisor of 112, 357, 218, 577?

We can find the highest common divisor of 112, 357, 218, 577 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, 357, 218, 577 i.e 1.

3. How can I use the GCD of 112, 357, 218, 577Calculator?

Out the numbers 112, 357, 218, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.