GCD of 505, 397, 84, 724 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 505, 397, 84, 724 quickly. Get the easiest ways to solve the greatest common divisor of 505, 397, 84, 724 i.e 1 in different methods as follows.
Given Input numbers are 505, 397, 84, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (505, 397, 84, 724) = 1.
Given numbers are 505, 397, 84, 724
The list of prime factors of all numbers are
Prime factors of 505 are 5 x 101
Prime factors of 397 are 397
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 724 are 2 x 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 505, 397, 84, 724 using LCM Formula
Given numbers are 505, 397, 84, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(505, 397) = 200485
GCD(505, 397) = ( 505 x 397 ) / 200485
= 505 / 397
= 505
Step2:
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
= 1 / 84
= 1
Step3:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
So, Greatest Common Divisor of 505, 397, 84, 724 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 505, 397, 84, 724
Given numbers are 505, 397, 84, 724
The greatest common divisor of numbers 505, 397, 84, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 397, 84, 724 is 1.
FAQs on GCD of 505, 397, 84, 724 Calculator
1. What is the GCD of 505, 397, 84, 724?
GCD of given numbers 505, 397, 84, 724 is 1
2. How to calculate the greatest common divisor of 505, 397, 84, 724?
We can find the highest common divisor of 505, 397, 84, 724 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 505, 397, 84, 724 i.e 1.
3. How can I use the GCD of 505, 397, 84, 724Calculator?
Out the numbers 505, 397, 84, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.