GCD of 528, 600, 948 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 528, 600, 948 quickly. Get the easiest ways to solve the greatest common divisor of 528, 600, 948 i.e 12 in different methods as follows.
Given Input numbers are 528, 600, 948
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 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 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (528, 600, 948) = 12.
Given numbers are 528, 600, 948
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 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 22 x 31
Therefore, GCD of 528, 600, 948 is 12.
Steps to Calculate GCD of 528, 600, 948 using LCM Formula
Given numbers are 528, 600, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 600) = 13200
GCD(528, 600) = ( 528 x 600 ) / 13200
= 528 / 600
= 528
Step2:
LCM(24, 948) = 1896
GCD(24, 948) = ( 24 x 948 ) / 1896
= 24 / 948
= 24
So, Greatest Common Divisor of 528, 600, 948 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 528, 600, 948
Given numbers are 528, 600, 948
The greatest common divisor of numbers 528, 600, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 600, 948 is 12.
FAQs on GCD of 528, 600, 948 Calculator
1. What is the GCD of 528, 600, 948?
GCD of given numbers 528, 600, 948 is 12
2. How to calculate the greatest common divisor of 528, 600, 948?
We can find the highest common divisor of 528, 600, 948 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, 600, 948 i.e 12.
3. How can I use the GCD of 528, 600, 948Calculator?
Out the numbers 528, 600, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.