GCD of 762, 825, 291 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 762, 825, 291 quickly. Get the easiest ways to solve the greatest common divisor of 762, 825, 291 i.e 3 in different methods as follows.
Given Input numbers are 762, 825, 291
In the factoring method, we have to find the divisors of all numbers
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
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 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
GCD of numbers is the greatest common divisor
So, the GCD (762, 825, 291) = 3.
Given numbers are 762, 825, 291
The list of prime factors of all numbers are
Prime factors of 762 are 2 x 3 x 127
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 291 are 3 x 97
The highest common occurrence is 31
Therefore, GCD of 762, 825, 291 is 3.
Steps to Calculate GCD of 762, 825, 291 using LCM Formula
Given numbers are 762, 825, 291
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(762, 825) = 209550
GCD(762, 825) = ( 762 x 825 ) / 209550
= 762 / 825
= 762
Step2:
LCM(3, 291) = 291
GCD(3, 291) = ( 3 x 291 ) / 291
= 3 / 291
= 3
So, Greatest Common Divisor of 762, 825, 291 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 762, 825, 291
Given numbers are 762, 825, 291
The greatest common divisor of numbers 762, 825, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 825, 291 is 3.
FAQs on GCD of 762, 825, 291 Calculator
1. What is the GCD of 762, 825, 291?
GCD of given numbers 762, 825, 291 is 3
2. How to calculate the greatest common divisor of 762, 825, 291?
We can find the highest common divisor of 762, 825, 291 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 762, 825, 291 i.e 3.
3. How can I use the GCD of 762, 825, 291Calculator?
Out the numbers 762, 825, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.