GCD of 352, 700, 584 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 352, 700, 584 quickly. Get the easiest ways to solve the greatest common divisor of 352, 700, 584 i.e 4 in different methods as follows.
Given Input numbers are 352, 700, 584
In the factoring method, we have to find the divisors of all numbers
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (352, 700, 584) = 4.
Given numbers are 352, 700, 584
The list of prime factors of all numbers are
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 584 are 2 x 2 x 2 x 73
The highest common occurrence is 22
Therefore, GCD of 352, 700, 584 is 4.
Steps to Calculate GCD of 352, 700, 584 using LCM Formula
Given numbers are 352, 700, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 700) = 61600
GCD(352, 700) = ( 352 x 700 ) / 61600
= 352 / 700
= 352
Step2:
LCM(4, 584) = 584
GCD(4, 584) = ( 4 x 584 ) / 584
= 4 / 584
= 4
So, Greatest Common Divisor of 352, 700, 584 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 352, 700, 584
Given numbers are 352, 700, 584
The greatest common divisor of numbers 352, 700, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 700, 584 is 4.
FAQs on GCD of 352, 700, 584 Calculator
1. What is the GCD of 352, 700, 584?
GCD of given numbers 352, 700, 584 is 4
2. How to calculate the greatest common divisor of 352, 700, 584?
We can find the highest common divisor of 352, 700, 584 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 352, 700, 584 i.e 4.
3. How can I use the GCD of 352, 700, 584Calculator?
Out the numbers 352, 700, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.