GCD of 687, 600, 357 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 687, 600, 357 quickly. Get the easiest ways to solve the greatest common divisor of 687, 600, 357 i.e 3 in different methods as follows.
Given Input numbers are 687, 600, 357
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (687, 600, 357) = 3.
Given numbers are 687, 600, 357
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 357 are 3 x 7 x 17
The highest common occurrence is 31
Therefore, GCD of 687, 600, 357 is 3.
Steps to Calculate GCD of 687, 600, 357 using LCM Formula
Given numbers are 687, 600, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 600) = 137400
GCD(687, 600) = ( 687 x 600 ) / 137400
= 687 / 600
= 687
Step2:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
So, Greatest Common Divisor of 687, 600, 357 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 687, 600, 357
Given numbers are 687, 600, 357
The greatest common divisor of numbers 687, 600, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 600, 357 is 3.
FAQs on GCD of 687, 600, 357 Calculator
1. What is the GCD of 687, 600, 357?
GCD of given numbers 687, 600, 357 is 3
2. How to calculate the greatest common divisor of 687, 600, 357?
We can find the highest common divisor of 687, 600, 357 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 687, 600, 357 i.e 3.
3. How can I use the GCD of 687, 600, 357Calculator?
Out the numbers 687, 600, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.