GCD of 381, 724, 861, 100 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 381, 724, 861, 100 quickly. Get the easiest ways to solve the greatest common divisor of 381, 724, 861, 100 i.e 1 in different methods as follows.
Given Input numbers are 381, 724, 861, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (381, 724, 861, 100) = 1.
Given numbers are 381, 724, 861, 100
The list of prime factors of all numbers are
Prime factors of 381 are 3 x 127
Prime factors of 724 are 2 x 2 x 181
Prime factors of 861 are 3 x 7 x 41
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 381, 724, 861, 100 using LCM Formula
Given numbers are 381, 724, 861, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(381, 724) = 275844
GCD(381, 724) = ( 381 x 724 ) / 275844
= 381 / 724
= 381
Step2:
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
= 1 / 861
= 1
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 381, 724, 861, 100 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 381, 724, 861, 100
Given numbers are 381, 724, 861, 100
The greatest common divisor of numbers 381, 724, 861, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 724, 861, 100 is 1.
FAQs on GCD of 381, 724, 861, 100 Calculator
1. What is the GCD of 381, 724, 861, 100?
GCD of given numbers 381, 724, 861, 100 is 1
2. How to calculate the greatest common divisor of 381, 724, 861, 100?
We can find the highest common divisor of 381, 724, 861, 100 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 381, 724, 861, 100 i.e 1.
3. How can I use the GCD of 381, 724, 861, 100Calculator?
Out the numbers 381, 724, 861, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.