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GCD of 196, 889, 309, 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 196, 889, 309, 969 quickly. Get the easiest ways to solve the greatest common divisor of 196, 889, 309, 969 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 196, 889, 309, 969 with Factoring?

Given Input numbers are 196, 889, 309, 969

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 (196, 889, 309, 969) = 1.

Find GCD of 196, 889, 309, 969 using Prime Factorization

Given numbers are 196, 889, 309, 969

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 889 are 7 x 127

Prime factors of 309 are 3 x 103

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 196, 889, 309, 969 using LCM Formula

Given numbers are 196, 889, 309, 969

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

Apply this formula for all numbers.

Step1:

LCM(196, 889) = 24892

GCD(196, 889) = ( 196 x 889 ) / 24892

= 196 / 889

= 196


Step2:

LCM(7, 309) = 2163

GCD(7, 309) = ( 7 x 309 ) / 2163

= 7 / 309

= 7


Step3:

LCM(1, 969) = 969

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

= 1 / 969

= 1


So, Greatest Common Divisor of 196, 889, 309, 969 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 196, 889, 309, 969

Given numbers are 196, 889, 309, 969
The greatest common divisor of numbers 196, 889, 309, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 889, 309, 969 is 1.

FAQs on GCD of 196, 889, 309, 969 Calculator

1. What is the GCD of 196, 889, 309, 969?

GCD of given numbers 196, 889, 309, 969 is 1


2. How to calculate the greatest common divisor of 196, 889, 309, 969?

We can find the highest common divisor of 196, 889, 309, 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 196, 889, 309, 969 i.e 1.


3. How can I use the GCD of 196, 889, 309, 969Calculator?

Out the numbers 196, 889, 309, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.