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GCD of 112, 938, 932, 559 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 112, 938, 932, 559 quickly. Get the easiest ways to solve the greatest common divisor of 112, 938, 932, 559 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 112, 938, 932, 559 with Factoring?

Given Input numbers are 112, 938, 932, 559

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559


GCD of numbers is the greatest common divisor

So, the GCD (112, 938, 932, 559) = 1.

Find GCD of 112, 938, 932, 559 using Prime Factorization

Given numbers are 112, 938, 932, 559

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 938 are 2 x 7 x 67

Prime factors of 932 are 2 x 2 x 233

Prime factors of 559 are 13 x 43

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

Steps to Calculate GCD of 112, 938, 932, 559 using LCM Formula

Given numbers are 112, 938, 932, 559

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

Apply this formula for all numbers.

Step1:

LCM(112, 938) = 7504

GCD(112, 938) = ( 112 x 938 ) / 7504

= 112 / 938

= 112


Step2:

LCM(14, 932) = 6524

GCD(14, 932) = ( 14 x 932 ) / 6524

= 14 / 932

= 14


Step3:

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

= 2 / 559

= 2


So, Greatest Common Divisor of 112, 938, 932, 559 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 112, 938, 932, 559

Given numbers are 112, 938, 932, 559
The greatest common divisor of numbers 112, 938, 932, 559 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 938, 932, 559 is 1.

FAQs on GCD of 112, 938, 932, 559 Calculator

1. What is the GCD of 112, 938, 932, 559?

GCD of given numbers 112, 938, 932, 559 is 1


2. How to calculate the greatest common divisor of 112, 938, 932, 559?

We can find the highest common divisor of 112, 938, 932, 559 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, 938, 932, 559 i.e 1.


3. How can I use the GCD of 112, 938, 932, 559Calculator?

Out the numbers 112, 938, 932, 559 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.