GCD of 77, 64, 17, 22 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 77, 64, 17, 22 quickly. Get the easiest ways to solve the greatest common divisor of 77, 64, 17, 22 i.e 1 in different methods as follows.
Given Input numbers are 77, 64, 17, 22
In the factoring method, we have to find the divisors of all numbers
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
GCD of numbers is the greatest common divisor
So, the GCD (77, 64, 17, 22) = 1.
Given numbers are 77, 64, 17, 22
The list of prime factors of all numbers are
Prime factors of 77 are 7 x 11
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 17 are 17
Prime factors of 22 are 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 77, 64, 17, 22 using LCM Formula
Given numbers are 77, 64, 17, 22
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(77, 64) = 4928
GCD(77, 64) = ( 77 x 64 ) / 4928
= 77 / 64
= 77
Step2:
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
= 1 / 17
= 1
Step3:
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
= 1 / 22
= 1
So, Greatest Common Divisor of 77, 64, 17, 22 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 77, 64, 17, 22
Given numbers are 77, 64, 17, 22
The greatest common divisor of numbers 77, 64, 17, 22 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 77, 64, 17, 22 is 1.
FAQs on GCD of 77, 64, 17, 22 Calculator
1. What is the GCD of 77, 64, 17, 22?
GCD of given numbers 77, 64, 17, 22 is 1
2. How to calculate the greatest common divisor of 77, 64, 17, 22?
We can find the highest common divisor of 77, 64, 17, 22 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 77, 64, 17, 22 i.e 1.
3. How can I use the GCD of 77, 64, 17, 22Calculator?
Out the numbers 77, 64, 17, 22 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.