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GCD of 969, 989, 919, 180 Calculator

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


Online GCD Calculator is useful to find the GCD of 969, 989, 919, 180 quickly. Get the easiest ways to solve the greatest common divisor of 969, 989, 919, 180 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 989, 919, 180 with Factoring?

Given Input numbers are 969, 989, 919, 180

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

Divisors of 969 :

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

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

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180


GCD of numbers is the greatest common divisor

So, the GCD (969, 989, 919, 180) = 1.

Find GCD of 969, 989, 919, 180 using Prime Factorization

Given numbers are 969, 989, 919, 180

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 989 are 23 x 43

Prime factors of 919 are 919

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 969, 989, 919, 180 using LCM Formula

Given numbers are 969, 989, 919, 180

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

Apply this formula for all numbers.

Step1:

LCM(969, 989) = 958341

GCD(969, 989) = ( 969 x 989 ) / 958341

= 969 / 989

= 969


Step2:

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

= 1 / 919

= 1


Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1


So, Greatest Common Divisor of 969, 989, 919, 180 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 989, 919, 180

Given numbers are 969, 989, 919, 180
The greatest common divisor of numbers 969, 989, 919, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 989, 919, 180 is 1.

FAQs on GCD of 969, 989, 919, 180 Calculator

1. What is the GCD of 969, 989, 919, 180?

GCD of given numbers 969, 989, 919, 180 is 1


2. How to calculate the greatest common divisor of 969, 989, 919, 180?

We can find the highest common divisor of 969, 989, 919, 180 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 969, 989, 919, 180 i.e 1.


3. How can I use the GCD of 969, 989, 919, 180Calculator?

Out the numbers 969, 989, 919, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.