GCD of 782, 552, 750 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 782, 552, 750 quickly. Get the easiest ways to solve the greatest common divisor of 782, 552, 750 i.e 2 in different methods as follows.
Given Input numbers are 782, 552, 750
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
GCD of numbers is the greatest common divisor
So, the GCD (782, 552, 750) = 2.
Given numbers are 782, 552, 750
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 782, 552, 750 is 2.
Steps to Calculate GCD of 782, 552, 750 using LCM Formula
Given numbers are 782, 552, 750
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 552) = 9384
GCD(782, 552) = ( 782 x 552 ) / 9384
= 782 / 552
= 782
Step2:
LCM(46, 750) = 17250
GCD(46, 750) = ( 46 x 750 ) / 17250
= 46 / 750
= 46
So, Greatest Common Divisor of 782, 552, 750 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 782, 552, 750
Given numbers are 782, 552, 750
The greatest common divisor of numbers 782, 552, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 552, 750 is 2.
FAQs on GCD of 782, 552, 750 Calculator
1. What is the GCD of 782, 552, 750?
GCD of given numbers 782, 552, 750 is 2
2. How to calculate the greatest common divisor of 782, 552, 750?
We can find the highest common divisor of 782, 552, 750 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 782, 552, 750 i.e 2.
3. How can I use the GCD of 782, 552, 750Calculator?
Out the numbers 782, 552, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.