LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 338, 969, 112, 969 Calculator

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


Online GCD Calculator is useful to find the GCD of 338, 969, 112, 969 quickly. Get the easiest ways to solve the greatest common divisor of 338, 969, 112, 969 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 338, 969, 112, 969 with Factoring?

Given Input numbers are 338, 969, 112, 969

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969


GCD of numbers is the greatest common divisor

So, the GCD (338, 969, 112, 969) = 1.

Find GCD of 338, 969, 112, 969 using Prime Factorization

Given numbers are 338, 969, 112, 969

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 969 are 3 x 17 x 19

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

Prime factors of 969 are 3 x 17 x 19

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

Steps to Calculate GCD of 338, 969, 112, 969 using LCM Formula

Given numbers are 338, 969, 112, 969

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

Apply this formula for all numbers.

Step1:

LCM(338, 969) = 327522

GCD(338, 969) = ( 338 x 969 ) / 327522

= 338 / 969

= 338


Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1


Step3:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1


So, Greatest Common Divisor of 338, 969, 112, 969 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 338, 969, 112, 969

Given numbers are 338, 969, 112, 969
The greatest common divisor of numbers 338, 969, 112, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 969, 112, 969 is 1.

FAQs on GCD of 338, 969, 112, 969 Calculator

1. What is the GCD of 338, 969, 112, 969?

GCD of given numbers 338, 969, 112, 969 is 1


2. How to calculate the greatest common divisor of 338, 969, 112, 969?

We can find the highest common divisor of 338, 969, 112, 969 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 338, 969, 112, 969 i.e 1.


3. How can I use the GCD of 338, 969, 112, 969Calculator?

Out the numbers 338, 969, 112, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.