GCD of 764, 240, 852 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 764, 240, 852 quickly. Get the easiest ways to solve the greatest common divisor of 764, 240, 852 i.e 4 in different methods as follows.
Given Input numbers are 764, 240, 852
In the factoring method, we have to find the divisors of all numbers
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
GCD of numbers is the greatest common divisor
So, the GCD (764, 240, 852) = 4.
Given numbers are 764, 240, 852
The list of prime factors of all numbers are
Prime factors of 764 are 2 x 2 x 191
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 852 are 2 x 2 x 3 x 71
The highest common occurrence is 22
Therefore, GCD of 764, 240, 852 is 4.
Steps to Calculate GCD of 764, 240, 852 using LCM Formula
Given numbers are 764, 240, 852
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(764, 240) = 45840
GCD(764, 240) = ( 764 x 240 ) / 45840
= 764 / 240
= 764
Step2:
LCM(4, 852) = 852
GCD(4, 852) = ( 4 x 852 ) / 852
= 4 / 852
= 4
So, Greatest Common Divisor of 764, 240, 852 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 764, 240, 852
Given numbers are 764, 240, 852
The greatest common divisor of numbers 764, 240, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 240, 852 is 4.
FAQs on GCD of 764, 240, 852 Calculator
1. What is the GCD of 764, 240, 852?
GCD of given numbers 764, 240, 852 is 4
2. How to calculate the greatest common divisor of 764, 240, 852?
We can find the highest common divisor of 764, 240, 852 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 764, 240, 852 i.e 4.
3. How can I use the GCD of 764, 240, 852Calculator?
Out the numbers 764, 240, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.