GCD of 501, 189, 705, 977 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 501, 189, 705, 977 quickly. Get the easiest ways to solve the greatest common divisor of 501, 189, 705, 977 i.e 1 in different methods as follows.
Given Input numbers are 501, 189, 705, 977
In the factoring method, we have to find the divisors of all numbers
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
GCD of numbers is the greatest common divisor
So, the GCD (501, 189, 705, 977) = 1.
Given numbers are 501, 189, 705, 977
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 705 are 3 x 5 x 47
Prime factors of 977 are 977
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 501, 189, 705, 977 using LCM Formula
Given numbers are 501, 189, 705, 977
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 189) = 31563
GCD(501, 189) = ( 501 x 189 ) / 31563
= 501 / 189
= 501
Step2:
LCM(3, 705) = 705
GCD(3, 705) = ( 3 x 705 ) / 705
= 3 / 705
= 3
Step3:
LCM(3, 977) = 2931
GCD(3, 977) = ( 3 x 977 ) / 2931
= 3 / 977
= 3
So, Greatest Common Divisor of 501, 189, 705, 977 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 501, 189, 705, 977
Given numbers are 501, 189, 705, 977
The greatest common divisor of numbers 501, 189, 705, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 189, 705, 977 is 1.
FAQs on GCD of 501, 189, 705, 977 Calculator
1. What is the GCD of 501, 189, 705, 977?
GCD of given numbers 501, 189, 705, 977 is 1
2. How to calculate the greatest common divisor of 501, 189, 705, 977?
We can find the highest common divisor of 501, 189, 705, 977 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 501, 189, 705, 977 i.e 1.
3. How can I use the GCD of 501, 189, 705, 977Calculator?
Out the numbers 501, 189, 705, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.