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GCD of 452, 900, 821, 678 Calculator

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


Online GCD Calculator is useful to find the GCD of 452, 900, 821, 678 quickly. Get the easiest ways to solve the greatest common divisor of 452, 900, 821, 678 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 452, 900, 821, 678 with Factoring?

Given Input numbers are 452, 900, 821, 678

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678


GCD of numbers is the greatest common divisor

So, the GCD (452, 900, 821, 678) = 1.

Find GCD of 452, 900, 821, 678 using Prime Factorization

Given numbers are 452, 900, 821, 678

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 821 are 821

Prime factors of 678 are 2 x 3 x 113

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

Steps to Calculate GCD of 452, 900, 821, 678 using LCM Formula

Given numbers are 452, 900, 821, 678

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

Apply this formula for all numbers.

Step1:

LCM(452, 900) = 101700

GCD(452, 900) = ( 452 x 900 ) / 101700

= 452 / 900

= 452


Step2:

LCM(4, 821) = 3284

GCD(4, 821) = ( 4 x 821 ) / 3284

= 4 / 821

= 4


Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1


So, Greatest Common Divisor of 452, 900, 821, 678 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 452, 900, 821, 678

Given numbers are 452, 900, 821, 678
The greatest common divisor of numbers 452, 900, 821, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 900, 821, 678 is 1.

FAQs on GCD of 452, 900, 821, 678 Calculator

1. What is the GCD of 452, 900, 821, 678?

GCD of given numbers 452, 900, 821, 678 is 1


2. How to calculate the greatest common divisor of 452, 900, 821, 678?

We can find the highest common divisor of 452, 900, 821, 678 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 452, 900, 821, 678 i.e 1.


3. How can I use the GCD of 452, 900, 821, 678Calculator?

Out the numbers 452, 900, 821, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.