GCD of 48, 69, 54, 87 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 48, 69, 54, 87 quickly. Get the easiest ways to solve the greatest common divisor of 48, 69, 54, 87 i.e 3 in different methods as follows.
Given Input numbers are 48, 69, 54, 87
In the factoring method, we have to find the divisors of all numbers
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 69 :
The positive integer divisors of 69 that completely divides 69 are.
1, 3, 23, 69
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
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 (48, 69, 54, 87) = 3.
Given numbers are 48, 69, 54, 87
The list of prime factors of all numbers are
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
Prime factors of 69 are 3 x 23
Prime factors of 54 are 2 x 3 x 3 x 3
Prime factors of 87 are 3 x 29
The highest common occurrence is 31
Therefore, GCD of 48, 69, 54, 87 is 3.
Steps to Calculate GCD of 48, 69, 54, 87 using LCM Formula
Given numbers are 48, 69, 54, 87
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(48, 69) = 1104
GCD(48, 69) = ( 48 x 69 ) / 1104
= 48 / 69
= 48
Step2:
LCM(3, 54) = 54
GCD(3, 54) = ( 3 x 54 ) / 54
= 3 / 54
= 3
Step3:
LCM(3, 87) = 87
GCD(3, 87) = ( 3 x 87 ) / 87
= 3 / 87
= 3
So, Greatest Common Divisor of 48, 69, 54, 87 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 48, 69, 54, 87
Given numbers are 48, 69, 54, 87
The greatest common divisor of numbers 48, 69, 54, 87 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 48, 69, 54, 87 is 3.
FAQs on GCD of 48, 69, 54, 87 Calculator
1. What is the GCD of 48, 69, 54, 87?
GCD of given numbers 48, 69, 54, 87 is 3
2. How to calculate the greatest common divisor of 48, 69, 54, 87?
We can find the highest common divisor of 48, 69, 54, 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 48, 69, 54, 87 i.e 3.
3. How can I use the GCD of 48, 69, 54, 87Calculator?
Out the numbers 48, 69, 54, 87 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.