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GCD of 112, 988, 211, 747 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, 988, 211, 747 quickly. Get the easiest ways to solve the greatest common divisor of 112, 988, 211, 747 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 112, 988, 211, 747 with Factoring?

Given Input numbers are 112, 988, 211, 747

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747


GCD of numbers is the greatest common divisor

So, the GCD (112, 988, 211, 747) = 1.

Find GCD of 112, 988, 211, 747 using Prime Factorization

Given numbers are 112, 988, 211, 747

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 988 are 2 x 2 x 13 x 19

Prime factors of 211 are 211

Prime factors of 747 are 3 x 3 x 83

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

Steps to Calculate GCD of 112, 988, 211, 747 using LCM Formula

Given numbers are 112, 988, 211, 747

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

Apply this formula for all numbers.

Step1:

LCM(112, 988) = 27664

GCD(112, 988) = ( 112 x 988 ) / 27664

= 112 / 988

= 112


Step2:

LCM(4, 211) = 844

GCD(4, 211) = ( 4 x 211 ) / 844

= 4 / 211

= 4


Step3:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1


So, Greatest Common Divisor of 112, 988, 211, 747 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 112, 988, 211, 747

Given numbers are 112, 988, 211, 747
The greatest common divisor of numbers 112, 988, 211, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 988, 211, 747 is 1.

FAQs on GCD of 112, 988, 211, 747 Calculator

1. What is the GCD of 112, 988, 211, 747?

GCD of given numbers 112, 988, 211, 747 is 1


2. How to calculate the greatest common divisor of 112, 988, 211, 747?

We can find the highest common divisor of 112, 988, 211, 747 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, 988, 211, 747 i.e 1.


3. How can I use the GCD of 112, 988, 211, 747Calculator?

Out the numbers 112, 988, 211, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.