GCD of 743, 138, 163, 142 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 743, 138, 163, 142 quickly. Get the easiest ways to solve the greatest common divisor of 743, 138, 163, 142 i.e 1 in different methods as follows.
Given Input numbers are 743, 138, 163, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 163 :
The positive integer divisors of 163 that completely divides 163 are.
1, 163
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 (743, 138, 163, 142) = 1.
Given numbers are 743, 138, 163, 142
The list of prime factors of all numbers are
Prime factors of 743 are 743
Prime factors of 138 are 2 x 3 x 23
Prime factors of 163 are 163
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 743, 138, 163, 142 using LCM Formula
Given numbers are 743, 138, 163, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(743, 138) = 102534
GCD(743, 138) = ( 743 x 138 ) / 102534
= 743 / 138
= 743
Step2:
LCM(1, 163) = 163
GCD(1, 163) = ( 1 x 163 ) / 163
= 1 / 163
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 743, 138, 163, 142 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 743, 138, 163, 142
Given numbers are 743, 138, 163, 142
The greatest common divisor of numbers 743, 138, 163, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 138, 163, 142 is 1.
FAQs on GCD of 743, 138, 163, 142 Calculator
1. What is the GCD of 743, 138, 163, 142?
GCD of given numbers 743, 138, 163, 142 is 1
2. How to calculate the greatest common divisor of 743, 138, 163, 142?
We can find the highest common divisor of 743, 138, 163, 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 743, 138, 163, 142 i.e 1.
3. How can I use the GCD of 743, 138, 163, 142Calculator?
Out the numbers 743, 138, 163, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.