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GCD of 891, 625, 498, 465 Calculator

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


Online GCD Calculator is useful to find the GCD of 891, 625, 498, 465 quickly. Get the easiest ways to solve the greatest common divisor of 891, 625, 498, 465 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 891, 625, 498, 465 with Factoring?

Given Input numbers are 891, 625, 498, 465

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465


GCD of numbers is the greatest common divisor

So, the GCD (891, 625, 498, 465) = 1.

Find GCD of 891, 625, 498, 465 using Prime Factorization

Given numbers are 891, 625, 498, 465

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 498 are 2 x 3 x 83

Prime factors of 465 are 3 x 5 x 31

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

Steps to Calculate GCD of 891, 625, 498, 465 using LCM Formula

Given numbers are 891, 625, 498, 465

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

Apply this formula for all numbers.

Step1:

LCM(891, 625) = 556875

GCD(891, 625) = ( 891 x 625 ) / 556875

= 891 / 625

= 891


Step2:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1


Step3:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1


So, Greatest Common Divisor of 891, 625, 498, 465 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 891, 625, 498, 465

Given numbers are 891, 625, 498, 465
The greatest common divisor of numbers 891, 625, 498, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 625, 498, 465 is 1.

FAQs on GCD of 891, 625, 498, 465 Calculator

1. What is the GCD of 891, 625, 498, 465?

GCD of given numbers 891, 625, 498, 465 is 1


2. How to calculate the greatest common divisor of 891, 625, 498, 465?

We can find the highest common divisor of 891, 625, 498, 465 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 891, 625, 498, 465 i.e 1.


3. How can I use the GCD of 891, 625, 498, 465Calculator?

Out the numbers 891, 625, 498, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.