GCD of 632, 704, 556 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 632, 704, 556 quickly. Get the easiest ways to solve the greatest common divisor of 632, 704, 556 i.e 4 in different methods as follows.
Given Input numbers are 632, 704, 556
In the factoring method, we have to find the divisors of all numbers
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
GCD of numbers is the greatest common divisor
So, the GCD (632, 704, 556) = 4.
Given numbers are 632, 704, 556
The list of prime factors of all numbers are
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 556 are 2 x 2 x 139
The highest common occurrence is 22
Therefore, GCD of 632, 704, 556 is 4.
Steps to Calculate GCD of 632, 704, 556 using LCM Formula
Given numbers are 632, 704, 556
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(632, 704) = 55616
GCD(632, 704) = ( 632 x 704 ) / 55616
= 632 / 704
= 632
Step2:
LCM(8, 556) = 1112
GCD(8, 556) = ( 8 x 556 ) / 1112
= 8 / 556
= 8
So, Greatest Common Divisor of 632, 704, 556 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 632, 704, 556
Given numbers are 632, 704, 556
The greatest common divisor of numbers 632, 704, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 704, 556 is 4.
FAQs on GCD of 632, 704, 556 Calculator
1. What is the GCD of 632, 704, 556?
GCD of given numbers 632, 704, 556 is 4
2. How to calculate the greatest common divisor of 632, 704, 556?
We can find the highest common divisor of 632, 704, 556 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 632, 704, 556 i.e 4.
3. How can I use the GCD of 632, 704, 556Calculator?
Out the numbers 632, 704, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.