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GCD of 940, 720, 427, 361 Calculator

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


Online GCD Calculator is useful to find the GCD of 940, 720, 427, 361 quickly. Get the easiest ways to solve the greatest common divisor of 940, 720, 427, 361 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 940, 720, 427, 361 with Factoring?

Given Input numbers are 940, 720, 427, 361

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

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 427 :

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

1, 7, 61, 427

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361


GCD of numbers is the greatest common divisor

So, the GCD (940, 720, 427, 361) = 1.

Find GCD of 940, 720, 427, 361 using Prime Factorization

Given numbers are 940, 720, 427, 361

The list of prime factors of all numbers are

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 427 are 7 x 61

Prime factors of 361 are 19 x 19

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

Steps to Calculate GCD of 940, 720, 427, 361 using LCM Formula

Given numbers are 940, 720, 427, 361

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

Apply this formula for all numbers.

Step1:

LCM(940, 720) = 33840

GCD(940, 720) = ( 940 x 720 ) / 33840

= 940 / 720

= 940


Step2:

LCM(20, 427) = 8540

GCD(20, 427) = ( 20 x 427 ) / 8540

= 20 / 427

= 20


Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1


So, Greatest Common Divisor of 940, 720, 427, 361 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 940, 720, 427, 361

Given numbers are 940, 720, 427, 361
The greatest common divisor of numbers 940, 720, 427, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 720, 427, 361 is 1.

FAQs on GCD of 940, 720, 427, 361 Calculator

1. What is the GCD of 940, 720, 427, 361?

GCD of given numbers 940, 720, 427, 361 is 1


2. How to calculate the greatest common divisor of 940, 720, 427, 361?

We can find the highest common divisor of 940, 720, 427, 361 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 940, 720, 427, 361 i.e 1.


3. How can I use the GCD of 940, 720, 427, 361Calculator?

Out the numbers 940, 720, 427, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.