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GCD of 969, 564, 594, 224 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, 564, 594, 224 quickly. Get the easiest ways to solve the greatest common divisor of 969, 564, 594, 224 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 564, 594, 224 with Factoring?

Given Input numbers are 969, 564, 594, 224

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224


GCD of numbers is the greatest common divisor

So, the GCD (969, 564, 594, 224) = 1.

Find GCD of 969, 564, 594, 224 using Prime Factorization

Given numbers are 969, 564, 594, 224

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 969, 564, 594, 224 using LCM Formula

Given numbers are 969, 564, 594, 224

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

Apply this formula for all numbers.

Step1:

LCM(969, 564) = 182172

GCD(969, 564) = ( 969 x 564 ) / 182172

= 969 / 564

= 969


Step2:

LCM(3, 594) = 594

GCD(3, 594) = ( 3 x 594 ) / 594

= 3 / 594

= 3


Step3:

LCM(3, 224) = 672

GCD(3, 224) = ( 3 x 224 ) / 672

= 3 / 224

= 3


So, Greatest Common Divisor of 969, 564, 594, 224 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 564, 594, 224

Given numbers are 969, 564, 594, 224
The greatest common divisor of numbers 969, 564, 594, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 564, 594, 224 is 1.

FAQs on GCD of 969, 564, 594, 224 Calculator

1. What is the GCD of 969, 564, 594, 224?

GCD of given numbers 969, 564, 594, 224 is 1


2. How to calculate the greatest common divisor of 969, 564, 594, 224?

We can find the highest common divisor of 969, 564, 594, 224 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, 564, 594, 224 i.e 1.


3. How can I use the GCD of 969, 564, 594, 224Calculator?

Out the numbers 969, 564, 594, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.