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GCD of 969, 988, 360, 834 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, 988, 360, 834 quickly. Get the easiest ways to solve the greatest common divisor of 969, 988, 360, 834 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 988, 360, 834 with Factoring?

Given Input numbers are 969, 988, 360, 834

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 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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834


GCD of numbers is the greatest common divisor

So, the GCD (969, 988, 360, 834) = 1.

Find GCD of 969, 988, 360, 834 using Prime Factorization

Given numbers are 969, 988, 360, 834

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 834 are 2 x 3 x 139

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

Steps to Calculate GCD of 969, 988, 360, 834 using LCM Formula

Given numbers are 969, 988, 360, 834

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

Apply this formula for all numbers.

Step1:

LCM(969, 988) = 50388

GCD(969, 988) = ( 969 x 988 ) / 50388

= 969 / 988

= 969


Step2:

LCM(19, 360) = 6840

GCD(19, 360) = ( 19 x 360 ) / 6840

= 19 / 360

= 19


Step3:

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

= 1 / 834

= 1


So, Greatest Common Divisor of 969, 988, 360, 834 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 988, 360, 834

Given numbers are 969, 988, 360, 834
The greatest common divisor of numbers 969, 988, 360, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 988, 360, 834 is 1.

FAQs on GCD of 969, 988, 360, 834 Calculator

1. What is the GCD of 969, 988, 360, 834?

GCD of given numbers 969, 988, 360, 834 is 1


2. How to calculate the greatest common divisor of 969, 988, 360, 834?

We can find the highest common divisor of 969, 988, 360, 834 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, 988, 360, 834 i.e 1.


3. How can I use the GCD of 969, 988, 360, 834Calculator?

Out the numbers 969, 988, 360, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.