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GCD of 242, 700, 671, 820 Calculator

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


Online GCD Calculator is useful to find the GCD of 242, 700, 671, 820 quickly. Get the easiest ways to solve the greatest common divisor of 242, 700, 671, 820 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 242, 700, 671, 820 with Factoring?

Given Input numbers are 242, 700, 671, 820

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (242, 700, 671, 820) = 1.

Find GCD of 242, 700, 671, 820 using Prime Factorization

Given numbers are 242, 700, 671, 820

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 671 are 11 x 61

Prime factors of 820 are 2 x 2 x 5 x 41

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

Steps to Calculate GCD of 242, 700, 671, 820 using LCM Formula

Given numbers are 242, 700, 671, 820

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

Apply this formula for all numbers.

Step1:

LCM(242, 700) = 84700

GCD(242, 700) = ( 242 x 700 ) / 84700

= 242 / 700

= 242


Step2:

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

= 2 / 671

= 2


Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1


So, Greatest Common Divisor of 242, 700, 671, 820 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 242, 700, 671, 820

Given numbers are 242, 700, 671, 820
The greatest common divisor of numbers 242, 700, 671, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 700, 671, 820 is 1.

FAQs on GCD of 242, 700, 671, 820 Calculator

1. What is the GCD of 242, 700, 671, 820?

GCD of given numbers 242, 700, 671, 820 is 1


2. How to calculate the greatest common divisor of 242, 700, 671, 820?

We can find the highest common divisor of 242, 700, 671, 820 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 242, 700, 671, 820 i.e 1.


3. How can I use the GCD of 242, 700, 671, 820Calculator?

Out the numbers 242, 700, 671, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.