GCD of 49, 90, 77, 17 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 49, 90, 77, 17 quickly. Get the easiest ways to solve the greatest common divisor of 49, 90, 77, 17 i.e 1 in different methods as follows.
Given Input numbers are 49, 90, 77, 17
In the factoring method, we have to find the divisors of all numbers
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
GCD of numbers is the greatest common divisor
So, the GCD (49, 90, 77, 17) = 1.
Given numbers are 49, 90, 77, 17
The list of prime factors of all numbers are
Prime factors of 49 are 7 x 7
Prime factors of 90 are 2 x 3 x 3 x 5
Prime factors of 77 are 7 x 11
Prime factors of 17 are 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 49, 90, 77, 17 using LCM Formula
Given numbers are 49, 90, 77, 17
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(49, 90) = 4410
GCD(49, 90) = ( 49 x 90 ) / 4410
= 49 / 90
= 49
Step2:
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
= 1 / 77
= 1
Step3:
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
= 1 / 17
= 1
So, Greatest Common Divisor of 49, 90, 77, 17 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 49, 90, 77, 17
Given numbers are 49, 90, 77, 17
The greatest common divisor of numbers 49, 90, 77, 17 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 49, 90, 77, 17 is 1.
FAQs on GCD of 49, 90, 77, 17 Calculator
1. What is the GCD of 49, 90, 77, 17?
GCD of given numbers 49, 90, 77, 17 is 1
2. How to calculate the greatest common divisor of 49, 90, 77, 17?
We can find the highest common divisor of 49, 90, 77, 17 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 49, 90, 77, 17 i.e 1.
3. How can I use the GCD of 49, 90, 77, 17Calculator?
Out the numbers 49, 90, 77, 17 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.