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GCD of 650, 649, 121, 221 Calculator

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


Online GCD Calculator is useful to find the GCD of 650, 649, 121, 221 quickly. Get the easiest ways to solve the greatest common divisor of 650, 649, 121, 221 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 650, 649, 121, 221 with Factoring?

Given Input numbers are 650, 649, 121, 221

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

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221


GCD of numbers is the greatest common divisor

So, the GCD (650, 649, 121, 221) = 1.

Find GCD of 650, 649, 121, 221 using Prime Factorization

Given numbers are 650, 649, 121, 221

The list of prime factors of all numbers are

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 649 are 11 x 59

Prime factors of 121 are 11 x 11

Prime factors of 221 are 13 x 17

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

Steps to Calculate GCD of 650, 649, 121, 221 using LCM Formula

Given numbers are 650, 649, 121, 221

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

Apply this formula for all numbers.

Step1:

LCM(650, 649) = 421850

GCD(650, 649) = ( 650 x 649 ) / 421850

= 650 / 649

= 650


Step2:

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

= 1 / 121

= 1


Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1


So, Greatest Common Divisor of 650, 649, 121, 221 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 650, 649, 121, 221

Given numbers are 650, 649, 121, 221
The greatest common divisor of numbers 650, 649, 121, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 649, 121, 221 is 1.

FAQs on GCD of 650, 649, 121, 221 Calculator

1. What is the GCD of 650, 649, 121, 221?

GCD of given numbers 650, 649, 121, 221 is 1


2. How to calculate the greatest common divisor of 650, 649, 121, 221?

We can find the highest common divisor of 650, 649, 121, 221 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 650, 649, 121, 221 i.e 1.


3. How can I use the GCD of 650, 649, 121, 221Calculator?

Out the numbers 650, 649, 121, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.