GCD of 976, 472, 782 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 976, 472, 782 quickly. Get the easiest ways to solve the greatest common divisor of 976, 472, 782 i.e 2 in different methods as follows.
Given Input numbers are 976, 472, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (976, 472, 782) = 2.
Given numbers are 976, 472, 782
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 782 are 2 x 17 x 23
The highest common occurrence is 21
Therefore, GCD of 976, 472, 782 is 2.
Steps to Calculate GCD of 976, 472, 782 using LCM Formula
Given numbers are 976, 472, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 472) = 57584
GCD(976, 472) = ( 976 x 472 ) / 57584
= 976 / 472
= 976
Step2:
LCM(8, 782) = 3128
GCD(8, 782) = ( 8 x 782 ) / 3128
= 8 / 782
= 8
So, Greatest Common Divisor of 976, 472, 782 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 976, 472, 782
Given numbers are 976, 472, 782
The greatest common divisor of numbers 976, 472, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 472, 782 is 2.
FAQs on GCD of 976, 472, 782 Calculator
1. What is the GCD of 976, 472, 782?
GCD of given numbers 976, 472, 782 is 2
2. How to calculate the greatest common divisor of 976, 472, 782?
We can find the highest common divisor of 976, 472, 782 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 976, 472, 782 i.e 2.
3. How can I use the GCD of 976, 472, 782Calculator?
Out the numbers 976, 472, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.