GCD of 825, 269, 874, 613 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 825, 269, 874, 613 quickly. Get the easiest ways to solve the greatest common divisor of 825, 269, 874, 613 i.e 1 in different methods as follows.
Given Input numbers are 825, 269, 874, 613
In the factoring method, we have to find the divisors of all numbers
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 613 :
The positive integer divisors of 613 that completely divides 613 are.
1, 613
GCD of numbers is the greatest common divisor
So, the GCD (825, 269, 874, 613) = 1.
Given numbers are 825, 269, 874, 613
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 269 are 269
Prime factors of 874 are 2 x 19 x 23
Prime factors of 613 are 613
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 825, 269, 874, 613 using LCM Formula
Given numbers are 825, 269, 874, 613
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 269) = 221925
GCD(825, 269) = ( 825 x 269 ) / 221925
= 825 / 269
= 825
Step2:
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
= 1 / 874
= 1
Step3:
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
= 1 / 613
= 1
So, Greatest Common Divisor of 825, 269, 874, 613 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 825, 269, 874, 613
Given numbers are 825, 269, 874, 613
The greatest common divisor of numbers 825, 269, 874, 613 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 269, 874, 613 is 1.
FAQs on GCD of 825, 269, 874, 613 Calculator
1. What is the GCD of 825, 269, 874, 613?
GCD of given numbers 825, 269, 874, 613 is 1
2. How to calculate the greatest common divisor of 825, 269, 874, 613?
We can find the highest common divisor of 825, 269, 874, 613 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 825, 269, 874, 613 i.e 1.
3. How can I use the GCD of 825, 269, 874, 613Calculator?
Out the numbers 825, 269, 874, 613 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.