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GCD of 11, 54, 69, 87 Calculator

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


Online GCD Calculator is useful to find the GCD of 11, 54, 69, 87 quickly. Get the easiest ways to solve the greatest common divisor of 11, 54, 69, 87 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 11, 54, 69, 87 with Factoring?

Given Input numbers are 11, 54, 69, 87

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

Divisors of 11 :

The positive integer divisors of 11 that completely divides 11 are.

1, 11

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87


GCD of numbers is the greatest common divisor

So, the GCD (11, 54, 69, 87) = 1.

Find GCD of 11, 54, 69, 87 using Prime Factorization

Given numbers are 11, 54, 69, 87

The list of prime factors of all numbers are

Prime factors of 11 are 11

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 69 are 3 x 23

Prime factors of 87 are 3 x 29

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

Steps to Calculate GCD of 11, 54, 69, 87 using LCM Formula

Given numbers are 11, 54, 69, 87

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

Apply this formula for all numbers.

Step1:

LCM(11, 54) = 594

GCD(11, 54) = ( 11 x 54 ) / 594

= 11 / 54

= 11


Step2:

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

= 1 / 69

= 1


Step3:

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

= 1 / 87

= 1


So, Greatest Common Divisor of 11, 54, 69, 87 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 11, 54, 69, 87

Given numbers are 11, 54, 69, 87
The greatest common divisor of numbers 11, 54, 69, 87 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 11, 54, 69, 87 is 1.

FAQs on GCD of 11, 54, 69, 87 Calculator

1. What is the GCD of 11, 54, 69, 87?

GCD of given numbers 11, 54, 69, 87 is 1


2. How to calculate the greatest common divisor of 11, 54, 69, 87?

We can find the highest common divisor of 11, 54, 69, 87 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 11, 54, 69, 87 i.e 1.


3. How can I use the GCD of 11, 54, 69, 87Calculator?

Out the numbers 11, 54, 69, 87 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.