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GCD of 346, 461, 722, 420 Calculator

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


Online GCD Calculator is useful to find the GCD of 346, 461, 722, 420 quickly. Get the easiest ways to solve the greatest common divisor of 346, 461, 722, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 346, 461, 722, 420 with Factoring?

Given Input numbers are 346, 461, 722, 420

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

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

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


GCD of numbers is the greatest common divisor

So, the GCD (346, 461, 722, 420) = 1.

Find GCD of 346, 461, 722, 420 using Prime Factorization

Given numbers are 346, 461, 722, 420

The list of prime factors of all numbers are

Prime factors of 346 are 2 x 173

Prime factors of 461 are 461

Prime factors of 722 are 2 x 19 x 19

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

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

Steps to Calculate GCD of 346, 461, 722, 420 using LCM Formula

Given numbers are 346, 461, 722, 420

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

Apply this formula for all numbers.

Step1:

LCM(346, 461) = 159506

GCD(346, 461) = ( 346 x 461 ) / 159506

= 346 / 461

= 346


Step2:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1


Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 346, 461, 722, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 346, 461, 722, 420

Given numbers are 346, 461, 722, 420
The greatest common divisor of numbers 346, 461, 722, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 346, 461, 722, 420 is 1.

FAQs on GCD of 346, 461, 722, 420 Calculator

1. What is the GCD of 346, 461, 722, 420?

GCD of given numbers 346, 461, 722, 420 is 1


2. How to calculate the greatest common divisor of 346, 461, 722, 420?

We can find the highest common divisor of 346, 461, 722, 420 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 346, 461, 722, 420 i.e 1.


3. How can I use the GCD of 346, 461, 722, 420Calculator?

Out the numbers 346, 461, 722, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.