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GCD of 241, 420, 637, 705 Calculator

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


Online GCD Calculator is useful to find the GCD of 241, 420, 637, 705 quickly. Get the easiest ways to solve the greatest common divisor of 241, 420, 637, 705 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 241, 420, 637, 705 with Factoring?

Given Input numbers are 241, 420, 637, 705

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

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705


GCD of numbers is the greatest common divisor

So, the GCD (241, 420, 637, 705) = 1.

Find GCD of 241, 420, 637, 705 using Prime Factorization

Given numbers are 241, 420, 637, 705

The list of prime factors of all numbers are

Prime factors of 241 are 241

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 637 are 7 x 7 x 13

Prime factors of 705 are 3 x 5 x 47

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

Steps to Calculate GCD of 241, 420, 637, 705 using LCM Formula

Given numbers are 241, 420, 637, 705

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

Apply this formula for all numbers.

Step1:

LCM(241, 420) = 101220

GCD(241, 420) = ( 241 x 420 ) / 101220

= 241 / 420

= 241


Step2:

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

= 1 / 637

= 1


Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1


So, Greatest Common Divisor of 241, 420, 637, 705 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 241, 420, 637, 705

Given numbers are 241, 420, 637, 705
The greatest common divisor of numbers 241, 420, 637, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 241, 420, 637, 705 is 1.

FAQs on GCD of 241, 420, 637, 705 Calculator

1. What is the GCD of 241, 420, 637, 705?

GCD of given numbers 241, 420, 637, 705 is 1


2. How to calculate the greatest common divisor of 241, 420, 637, 705?

We can find the highest common divisor of 241, 420, 637, 705 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 241, 420, 637, 705 i.e 1.


3. How can I use the GCD of 241, 420, 637, 705Calculator?

Out the numbers 241, 420, 637, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.