GCD of 105, 102, 587, 142 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 102, 587, 142 quickly. Get the easiest ways to solve the greatest common divisor of 105, 102, 587, 142 i.e 1 in different methods as follows.
Given Input numbers are 105, 102, 587, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 587 :
The positive integer divisors of 587 that completely divides 587 are.
1, 587
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (105, 102, 587, 142) = 1.
Given numbers are 105, 102, 587, 142
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 102 are 2 x 3 x 17
Prime factors of 587 are 587
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 105, 102, 587, 142 using LCM Formula
Given numbers are 105, 102, 587, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 102) = 3570
GCD(105, 102) = ( 105 x 102 ) / 3570
= 105 / 102
= 105
Step2:
LCM(3, 587) = 1761
GCD(3, 587) = ( 3 x 587 ) / 1761
= 3 / 587
= 3
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 105, 102, 587, 142 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 102, 587, 142
Given numbers are 105, 102, 587, 142
The greatest common divisor of numbers 105, 102, 587, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 102, 587, 142 is 1.
FAQs on GCD of 105, 102, 587, 142 Calculator
1. What is the GCD of 105, 102, 587, 142?
GCD of given numbers 105, 102, 587, 142 is 1
2. How to calculate the greatest common divisor of 105, 102, 587, 142?
We can find the highest common divisor of 105, 102, 587, 142 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 105, 102, 587, 142 i.e 1.
3. How can I use the GCD of 105, 102, 587, 142Calculator?
Out the numbers 105, 102, 587, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.