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GCD of 169, 900, 313, 220 Calculator

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


Online GCD Calculator is useful to find the GCD of 169, 900, 313, 220 quickly. Get the easiest ways to solve the greatest common divisor of 169, 900, 313, 220 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 169, 900, 313, 220 with Factoring?

Given Input numbers are 169, 900, 313, 220

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

Divisors of 169 :

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

1, 13, 169

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 313 :

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

1, 313

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220


GCD of numbers is the greatest common divisor

So, the GCD (169, 900, 313, 220) = 1.

Find GCD of 169, 900, 313, 220 using Prime Factorization

Given numbers are 169, 900, 313, 220

The list of prime factors of all numbers are

Prime factors of 169 are 13 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 313 are 313

Prime factors of 220 are 2 x 2 x 5 x 11

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

Steps to Calculate GCD of 169, 900, 313, 220 using LCM Formula

Given numbers are 169, 900, 313, 220

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

Apply this formula for all numbers.

Step1:

LCM(169, 900) = 152100

GCD(169, 900) = ( 169 x 900 ) / 152100

= 169 / 900

= 169


Step2:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1


Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1


So, Greatest Common Divisor of 169, 900, 313, 220 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 169, 900, 313, 220

Given numbers are 169, 900, 313, 220
The greatest common divisor of numbers 169, 900, 313, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 900, 313, 220 is 1.

FAQs on GCD of 169, 900, 313, 220 Calculator

1. What is the GCD of 169, 900, 313, 220?

GCD of given numbers 169, 900, 313, 220 is 1


2. How to calculate the greatest common divisor of 169, 900, 313, 220?

We can find the highest common divisor of 169, 900, 313, 220 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 169, 900, 313, 220 i.e 1.


3. How can I use the GCD of 169, 900, 313, 220Calculator?

Out the numbers 169, 900, 313, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.