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GCD of 153, 648, 990, 451 Calculator

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


Online GCD Calculator is useful to find the GCD of 153, 648, 990, 451 quickly. Get the easiest ways to solve the greatest common divisor of 153, 648, 990, 451 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 153, 648, 990, 451 with Factoring?

Given Input numbers are 153, 648, 990, 451

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

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 451 :

The positive integer divisors of 451 that completely divides 451 are.

1, 11, 41, 451


GCD of numbers is the greatest common divisor

So, the GCD (153, 648, 990, 451) = 1.

Find GCD of 153, 648, 990, 451 using Prime Factorization

Given numbers are 153, 648, 990, 451

The list of prime factors of all numbers are

Prime factors of 153 are 3 x 3 x 17

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 451 are 11 x 41

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

Steps to Calculate GCD of 153, 648, 990, 451 using LCM Formula

Given numbers are 153, 648, 990, 451

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

Apply this formula for all numbers.

Step1:

LCM(153, 648) = 11016

GCD(153, 648) = ( 153 x 648 ) / 11016

= 153 / 648

= 153


Step2:

LCM(9, 990) = 990

GCD(9, 990) = ( 9 x 990 ) / 990

= 9 / 990

= 9


Step3:

LCM(9, 451) = 4059

GCD(9, 451) = ( 9 x 451 ) / 4059

= 9 / 451

= 9


So, Greatest Common Divisor of 153, 648, 990, 451 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 153, 648, 990, 451

Given numbers are 153, 648, 990, 451
The greatest common divisor of numbers 153, 648, 990, 451 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 648, 990, 451 is 1.

FAQs on GCD of 153, 648, 990, 451 Calculator

1. What is the GCD of 153, 648, 990, 451?

GCD of given numbers 153, 648, 990, 451 is 1


2. How to calculate the greatest common divisor of 153, 648, 990, 451?

We can find the highest common divisor of 153, 648, 990, 451 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 153, 648, 990, 451 i.e 1.


3. How can I use the GCD of 153, 648, 990, 451Calculator?

Out the numbers 153, 648, 990, 451 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.