LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 420, 427, 940, 238 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, 427, 940, 238 quickly. Get the easiest ways to solve the greatest common divisor of 420, 427, 940, 238 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 427, 940, 238 with Factoring?

Given Input numbers are 420, 427, 940, 238

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 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238


GCD of numbers is the greatest common divisor

So, the GCD (420, 427, 940, 238) = 1.

Find GCD of 420, 427, 940, 238 using Prime Factorization

Given numbers are 420, 427, 940, 238

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 427 are 7 x 61

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 238 are 2 x 7 x 17

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

Steps to Calculate GCD of 420, 427, 940, 238 using LCM Formula

Given numbers are 420, 427, 940, 238

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

Apply this formula for all numbers.

Step1:

LCM(420, 427) = 25620

GCD(420, 427) = ( 420 x 427 ) / 25620

= 420 / 427

= 420


Step2:

LCM(7, 940) = 6580

GCD(7, 940) = ( 7 x 940 ) / 6580

= 7 / 940

= 7


Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1


So, Greatest Common Divisor of 420, 427, 940, 238 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 427, 940, 238

Given numbers are 420, 427, 940, 238
The greatest common divisor of numbers 420, 427, 940, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 427, 940, 238 is 1.

FAQs on GCD of 420, 427, 940, 238 Calculator

1. What is the GCD of 420, 427, 940, 238?

GCD of given numbers 420, 427, 940, 238 is 1


2. How to calculate the greatest common divisor of 420, 427, 940, 238?

We can find the highest common divisor of 420, 427, 940, 238 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, 427, 940, 238 i.e 1.


3. How can I use the GCD of 420, 427, 940, 238Calculator?

Out the numbers 420, 427, 940, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.