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GCD of 969, 894, 872, 840 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, 894, 872, 840 quickly. Get the easiest ways to solve the greatest common divisor of 969, 894, 872, 840 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 894, 872, 840 with Factoring?

Given Input numbers are 969, 894, 872, 840

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840


GCD of numbers is the greatest common divisor

So, the GCD (969, 894, 872, 840) = 1.

Find GCD of 969, 894, 872, 840 using Prime Factorization

Given numbers are 969, 894, 872, 840

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 894 are 2 x 3 x 149

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Steps to Calculate GCD of 969, 894, 872, 840 using LCM Formula

Given numbers are 969, 894, 872, 840

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

Apply this formula for all numbers.

Step1:

LCM(969, 894) = 288762

GCD(969, 894) = ( 969 x 894 ) / 288762

= 969 / 894

= 969


Step2:

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

= 3 / 872

= 3


Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1


So, Greatest Common Divisor of 969, 894, 872, 840 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 894, 872, 840

Given numbers are 969, 894, 872, 840
The greatest common divisor of numbers 969, 894, 872, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 894, 872, 840 is 1.

FAQs on GCD of 969, 894, 872, 840 Calculator

1. What is the GCD of 969, 894, 872, 840?

GCD of given numbers 969, 894, 872, 840 is 1


2. How to calculate the greatest common divisor of 969, 894, 872, 840?

We can find the highest common divisor of 969, 894, 872, 840 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, 894, 872, 840 i.e 1.


3. How can I use the GCD of 969, 894, 872, 840Calculator?

Out the numbers 969, 894, 872, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.