GCD of 429, 993, 101, 561 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 429, 993, 101, 561 quickly. Get the easiest ways to solve the greatest common divisor of 429, 993, 101, 561 i.e 1 in different methods as follows.
Given Input numbers are 429, 993, 101, 561
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 101 :
The positive integer divisors of 101 that completely divides 101 are.
1, 101
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (429, 993, 101, 561) = 1.
Given numbers are 429, 993, 101, 561
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 993 are 3 x 331
Prime factors of 101 are 101
Prime factors of 561 are 3 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 429, 993, 101, 561 using LCM Formula
Given numbers are 429, 993, 101, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 993) = 141999
GCD(429, 993) = ( 429 x 993 ) / 141999
= 429 / 993
= 429
Step2:
LCM(3, 101) = 303
GCD(3, 101) = ( 3 x 101 ) / 303
= 3 / 101
= 3
Step3:
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
= 1 / 561
= 1
So, Greatest Common Divisor of 429, 993, 101, 561 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 429, 993, 101, 561
Given numbers are 429, 993, 101, 561
The greatest common divisor of numbers 429, 993, 101, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 993, 101, 561 is 1.
FAQs on GCD of 429, 993, 101, 561 Calculator
1. What is the GCD of 429, 993, 101, 561?
GCD of given numbers 429, 993, 101, 561 is 1
2. How to calculate the greatest common divisor of 429, 993, 101, 561?
We can find the highest common divisor of 429, 993, 101, 561 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 429, 993, 101, 561 i.e 1.
3. How can I use the GCD of 429, 993, 101, 561Calculator?
Out the numbers 429, 993, 101, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.