GCD of 814, 502, 145, 997 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 814, 502, 145, 997 quickly. Get the easiest ways to solve the greatest common divisor of 814, 502, 145, 997 i.e 1 in different methods as follows.
Given Input numbers are 814, 502, 145, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (814, 502, 145, 997) = 1.
Given numbers are 814, 502, 145, 997
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 502 are 2 x 251
Prime factors of 145 are 5 x 29
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 814, 502, 145, 997 using LCM Formula
Given numbers are 814, 502, 145, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 502) = 204314
GCD(814, 502) = ( 814 x 502 ) / 204314
= 814 / 502
= 814
Step2:
LCM(2, 145) = 290
GCD(2, 145) = ( 2 x 145 ) / 290
= 2 / 145
= 2
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 814, 502, 145, 997 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 814, 502, 145, 997
Given numbers are 814, 502, 145, 997
The greatest common divisor of numbers 814, 502, 145, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 502, 145, 997 is 1.
FAQs on GCD of 814, 502, 145, 997 Calculator
1. What is the GCD of 814, 502, 145, 997?
GCD of given numbers 814, 502, 145, 997 is 1
2. How to calculate the greatest common divisor of 814, 502, 145, 997?
We can find the highest common divisor of 814, 502, 145, 997 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 814, 502, 145, 997 i.e 1.
3. How can I use the GCD of 814, 502, 145, 997Calculator?
Out the numbers 814, 502, 145, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.