GCD of 491, 269, 497, 142 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 491, 269, 497, 142 quickly. Get the easiest ways to solve the greatest common divisor of 491, 269, 497, 142 i.e 1 in different methods as follows.
Given Input numbers are 491, 269, 497, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 491 :
The positive integer divisors of 491 that completely divides 491 are.
1, 491
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
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 (491, 269, 497, 142) = 1.
Given numbers are 491, 269, 497, 142
The list of prime factors of all numbers are
Prime factors of 491 are 491
Prime factors of 269 are 269
Prime factors of 497 are 7 x 71
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 491, 269, 497, 142 using LCM Formula
Given numbers are 491, 269, 497, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(491, 269) = 132079
GCD(491, 269) = ( 491 x 269 ) / 132079
= 491 / 269
= 491
Step2:
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
= 1 / 497
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 491, 269, 497, 142 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 491, 269, 497, 142
Given numbers are 491, 269, 497, 142
The greatest common divisor of numbers 491, 269, 497, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 269, 497, 142 is 1.
FAQs on GCD of 491, 269, 497, 142 Calculator
1. What is the GCD of 491, 269, 497, 142?
GCD of given numbers 491, 269, 497, 142 is 1
2. How to calculate the greatest common divisor of 491, 269, 497, 142?
We can find the highest common divisor of 491, 269, 497, 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 491, 269, 497, 142 i.e 1.
3. How can I use the GCD of 491, 269, 497, 142Calculator?
Out the numbers 491, 269, 497, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.