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GCD of 420, 994, 348, 947 Calculator

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


Online GCD Calculator is useful to find the GCD of 420, 994, 348, 947 quickly. Get the easiest ways to solve the greatest common divisor of 420, 994, 348, 947 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 994, 348, 947 with Factoring?

Given Input numbers are 420, 994, 348, 947

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

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 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947


GCD of numbers is the greatest common divisor

So, the GCD (420, 994, 348, 947) = 1.

Find GCD of 420, 994, 348, 947 using Prime Factorization

Given numbers are 420, 994, 348, 947

The list of prime factors of all numbers are

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

Prime factors of 994 are 2 x 7 x 71

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 947 are 947

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

Steps to Calculate GCD of 420, 994, 348, 947 using LCM Formula

Given numbers are 420, 994, 348, 947

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

Apply this formula for all numbers.

Step1:

LCM(420, 994) = 29820

GCD(420, 994) = ( 420 x 994 ) / 29820

= 420 / 994

= 420


Step2:

LCM(14, 348) = 2436

GCD(14, 348) = ( 14 x 348 ) / 2436

= 14 / 348

= 14


Step3:

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

= 2 / 947

= 2


So, Greatest Common Divisor of 420, 994, 348, 947 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 994, 348, 947

Given numbers are 420, 994, 348, 947
The greatest common divisor of numbers 420, 994, 348, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 994, 348, 947 is 1.

FAQs on GCD of 420, 994, 348, 947 Calculator

1. What is the GCD of 420, 994, 348, 947?

GCD of given numbers 420, 994, 348, 947 is 1


2. How to calculate the greatest common divisor of 420, 994, 348, 947?

We can find the highest common divisor of 420, 994, 348, 947 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 420, 994, 348, 947 i.e 1.


3. How can I use the GCD of 420, 994, 348, 947Calculator?

Out the numbers 420, 994, 348, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.