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GCD of 313, 690, 169, 226 Calculator

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


Online GCD Calculator is useful to find the GCD of 313, 690, 169, 226 quickly. Get the easiest ways to solve the greatest common divisor of 313, 690, 169, 226 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 313, 690, 169, 226 with Factoring?

Given Input numbers are 313, 690, 169, 226

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

Divisors of 313 :

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

1, 313

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226


GCD of numbers is the greatest common divisor

So, the GCD (313, 690, 169, 226) = 1.

Find GCD of 313, 690, 169, 226 using Prime Factorization

Given numbers are 313, 690, 169, 226

The list of prime factors of all numbers are

Prime factors of 313 are 313

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 169 are 13 x 13

Prime factors of 226 are 2 x 113

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

Steps to Calculate GCD of 313, 690, 169, 226 using LCM Formula

Given numbers are 313, 690, 169, 226

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

Apply this formula for all numbers.

Step1:

LCM(313, 690) = 215970

GCD(313, 690) = ( 313 x 690 ) / 215970

= 313 / 690

= 313


Step2:

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

= 1 / 169

= 1


Step3:

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

= 1 / 226

= 1


So, Greatest Common Divisor of 313, 690, 169, 226 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 313, 690, 169, 226

Given numbers are 313, 690, 169, 226
The greatest common divisor of numbers 313, 690, 169, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 690, 169, 226 is 1.

FAQs on GCD of 313, 690, 169, 226 Calculator

1. What is the GCD of 313, 690, 169, 226?

GCD of given numbers 313, 690, 169, 226 is 1


2. How to calculate the greatest common divisor of 313, 690, 169, 226?

We can find the highest common divisor of 313, 690, 169, 226 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 313, 690, 169, 226 i.e 1.


3. How can I use the GCD of 313, 690, 169, 226Calculator?

Out the numbers 313, 690, 169, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.