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GCD of 209, 658, 120, 421 Calculator

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


Online GCD Calculator is useful to find the GCD of 209, 658, 120, 421 quickly. Get the easiest ways to solve the greatest common divisor of 209, 658, 120, 421 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 209, 658, 120, 421 with Factoring?

Given Input numbers are 209, 658, 120, 421

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421


GCD of numbers is the greatest common divisor

So, the GCD (209, 658, 120, 421) = 1.

Find GCD of 209, 658, 120, 421 using Prime Factorization

Given numbers are 209, 658, 120, 421

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 658 are 2 x 7 x 47

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 421 are 421

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

Steps to Calculate GCD of 209, 658, 120, 421 using LCM Formula

Given numbers are 209, 658, 120, 421

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

Apply this formula for all numbers.

Step1:

LCM(209, 658) = 137522

GCD(209, 658) = ( 209 x 658 ) / 137522

= 209 / 658

= 209


Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1


So, Greatest Common Divisor of 209, 658, 120, 421 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 209, 658, 120, 421

Given numbers are 209, 658, 120, 421
The greatest common divisor of numbers 209, 658, 120, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 658, 120, 421 is 1.

FAQs on GCD of 209, 658, 120, 421 Calculator

1. What is the GCD of 209, 658, 120, 421?

GCD of given numbers 209, 658, 120, 421 is 1


2. How to calculate the greatest common divisor of 209, 658, 120, 421?

We can find the highest common divisor of 209, 658, 120, 421 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 209, 658, 120, 421 i.e 1.


3. How can I use the GCD of 209, 658, 120, 421Calculator?

Out the numbers 209, 658, 120, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.