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GCD of 224, 313, 197, 653 Calculator

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


Online GCD Calculator is useful to find the GCD of 224, 313, 197, 653 quickly. Get the easiest ways to solve the greatest common divisor of 224, 313, 197, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 224, 313, 197, 653 with Factoring?

Given Input numbers are 224, 313, 197, 653

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

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653


GCD of numbers is the greatest common divisor

So, the GCD (224, 313, 197, 653) = 1.

Find GCD of 224, 313, 197, 653 using Prime Factorization

Given numbers are 224, 313, 197, 653

The list of prime factors of all numbers are

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

Prime factors of 313 are 313

Prime factors of 197 are 197

Prime factors of 653 are 653

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

Steps to Calculate GCD of 224, 313, 197, 653 using LCM Formula

Given numbers are 224, 313, 197, 653

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

Apply this formula for all numbers.

Step1:

LCM(224, 313) = 70112

GCD(224, 313) = ( 224 x 313 ) / 70112

= 224 / 313

= 224


Step2:

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

= 1 / 197

= 1


Step3:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1


So, Greatest Common Divisor of 224, 313, 197, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 224, 313, 197, 653

Given numbers are 224, 313, 197, 653
The greatest common divisor of numbers 224, 313, 197, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 313, 197, 653 is 1.

FAQs on GCD of 224, 313, 197, 653 Calculator

1. What is the GCD of 224, 313, 197, 653?

GCD of given numbers 224, 313, 197, 653 is 1


2. How to calculate the greatest common divisor of 224, 313, 197, 653?

We can find the highest common divisor of 224, 313, 197, 653 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 224, 313, 197, 653 i.e 1.


3. How can I use the GCD of 224, 313, 197, 653Calculator?

Out the numbers 224, 313, 197, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.