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GCD of 420, 880, 362, 319 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, 880, 362, 319 quickly. Get the easiest ways to solve the greatest common divisor of 420, 880, 362, 319 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 880, 362, 319 with Factoring?

Given Input numbers are 420, 880, 362, 319

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319


GCD of numbers is the greatest common divisor

So, the GCD (420, 880, 362, 319) = 1.

Find GCD of 420, 880, 362, 319 using Prime Factorization

Given numbers are 420, 880, 362, 319

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 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 362 are 2 x 181

Prime factors of 319 are 11 x 29

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

Steps to Calculate GCD of 420, 880, 362, 319 using LCM Formula

Given numbers are 420, 880, 362, 319

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

Apply this formula for all numbers.

Step1:

LCM(420, 880) = 18480

GCD(420, 880) = ( 420 x 880 ) / 18480

= 420 / 880

= 420


Step2:

LCM(20, 362) = 3620

GCD(20, 362) = ( 20 x 362 ) / 3620

= 20 / 362

= 20


Step3:

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

= 2 / 319

= 2


So, Greatest Common Divisor of 420, 880, 362, 319 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 880, 362, 319

Given numbers are 420, 880, 362, 319
The greatest common divisor of numbers 420, 880, 362, 319 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 880, 362, 319 is 1.

FAQs on GCD of 420, 880, 362, 319 Calculator

1. What is the GCD of 420, 880, 362, 319?

GCD of given numbers 420, 880, 362, 319 is 1


2. How to calculate the greatest common divisor of 420, 880, 362, 319?

We can find the highest common divisor of 420, 880, 362, 319 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, 880, 362, 319 i.e 1.


3. How can I use the GCD of 420, 880, 362, 319Calculator?

Out the numbers 420, 880, 362, 319 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.