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GCD of 420, 522, 741, 880 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, 522, 741, 880 quickly. Get the easiest ways to solve the greatest common divisor of 420, 522, 741, 880 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 522, 741, 880 with Factoring?

Given Input numbers are 420, 522, 741, 880

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

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


GCD of numbers is the greatest common divisor

So, the GCD (420, 522, 741, 880) = 1.

Find GCD of 420, 522, 741, 880 using Prime Factorization

Given numbers are 420, 522, 741, 880

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 522 are 2 x 3 x 3 x 29

Prime factors of 741 are 3 x 13 x 19

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

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

Steps to Calculate GCD of 420, 522, 741, 880 using LCM Formula

Given numbers are 420, 522, 741, 880

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

Apply this formula for all numbers.

Step1:

LCM(420, 522) = 36540

GCD(420, 522) = ( 420 x 522 ) / 36540

= 420 / 522

= 420


Step2:

LCM(6, 741) = 1482

GCD(6, 741) = ( 6 x 741 ) / 1482

= 6 / 741

= 6


Step3:

LCM(3, 880) = 2640

GCD(3, 880) = ( 3 x 880 ) / 2640

= 3 / 880

= 3


So, Greatest Common Divisor of 420, 522, 741, 880 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 522, 741, 880

Given numbers are 420, 522, 741, 880
The greatest common divisor of numbers 420, 522, 741, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 522, 741, 880 is 1.

FAQs on GCD of 420, 522, 741, 880 Calculator

1. What is the GCD of 420, 522, 741, 880?

GCD of given numbers 420, 522, 741, 880 is 1


2. How to calculate the greatest common divisor of 420, 522, 741, 880?

We can find the highest common divisor of 420, 522, 741, 880 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, 522, 741, 880 i.e 1.


3. How can I use the GCD of 420, 522, 741, 880Calculator?

Out the numbers 420, 522, 741, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.