GCD of 528, 872, 700 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 528, 872, 700 quickly. Get the easiest ways to solve the greatest common divisor of 528, 872, 700 i.e 4 in different methods as follows.
Given Input numbers are 528, 872, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
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
GCD of numbers is the greatest common divisor
So, the GCD (528, 872, 700) = 4.
Given numbers are 528, 872, 700
The list of prime factors of all numbers are
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 528, 872, 700 is 4.
Steps to Calculate GCD of 528, 872, 700 using LCM Formula
Given numbers are 528, 872, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 872) = 57552
GCD(528, 872) = ( 528 x 872 ) / 57552
= 528 / 872
= 528
Step2:
LCM(8, 700) = 1400
GCD(8, 700) = ( 8 x 700 ) / 1400
= 8 / 700
= 8
So, Greatest Common Divisor of 528, 872, 700 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 528, 872, 700
Given numbers are 528, 872, 700
The greatest common divisor of numbers 528, 872, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 872, 700 is 4.
FAQs on GCD of 528, 872, 700 Calculator
1. What is the GCD of 528, 872, 700?
GCD of given numbers 528, 872, 700 is 4
2. How to calculate the greatest common divisor of 528, 872, 700?
We can find the highest common divisor of 528, 872, 700 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 528, 872, 700 i.e 4.
3. How can I use the GCD of 528, 872, 700Calculator?
Out the numbers 528, 872, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.