GCD of 69, 14, 54, 77 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 69, 14, 54, 77 quickly. Get the easiest ways to solve the greatest common divisor of 69, 14, 54, 77 i.e 1 in different methods as follows.
Given Input numbers are 69, 14, 54, 77
In the factoring method, we have to find the divisors of all numbers
Divisors of 69 :
The positive integer divisors of 69 that completely divides 69 are.
1, 3, 23, 69
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
GCD of numbers is the greatest common divisor
So, the GCD (69, 14, 54, 77) = 1.
Given numbers are 69, 14, 54, 77
The list of prime factors of all numbers are
Prime factors of 69 are 3 x 23
Prime factors of 14 are 2 x 7
Prime factors of 54 are 2 x 3 x 3 x 3
Prime factors of 77 are 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 69, 14, 54, 77 using LCM Formula
Given numbers are 69, 14, 54, 77
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(69, 14) = 966
GCD(69, 14) = ( 69 x 14 ) / 966
= 69 / 14
= 69
Step2:
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
= 1 / 54
= 1
Step3:
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
= 1 / 77
= 1
So, Greatest Common Divisor of 69, 14, 54, 77 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 69, 14, 54, 77
Given numbers are 69, 14, 54, 77
The greatest common divisor of numbers 69, 14, 54, 77 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 69, 14, 54, 77 is 1.
FAQs on GCD of 69, 14, 54, 77 Calculator
1. What is the GCD of 69, 14, 54, 77?
GCD of given numbers 69, 14, 54, 77 is 1
2. How to calculate the greatest common divisor of 69, 14, 54, 77?
We can find the highest common divisor of 69, 14, 54, 77 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 69, 14, 54, 77 i.e 1.
3. How can I use the GCD of 69, 14, 54, 77Calculator?
Out the numbers 69, 14, 54, 77 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.