Online GCD Calculator is useful to find the GCD of 948, 315, 567, 825 quickly. Get the easiest ways to solve the greatest common divisor of 948, 315, 567, 825 i.e 3 in different methods as follows.
Given Input numbers are 948, 315, 567, 825
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (948, 315, 567, 825) = 3.
Given numbers are 948, 315, 567, 825
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 948, 315, 567, 825 is 3.
Given numbers are 948, 315, 567, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 315) = 99540
GCD(948, 315) = ( 948 x 315 ) / 99540
= 948 / 315
= 948
Step2:
LCM(3, 567) = 567
GCD(3, 567) = ( 3 x 567 ) / 567
= 3 / 567
= 3
Step3:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
So, Greatest Common Divisor of 948, 315, 567, 825 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 315, 567, 825
The greatest common divisor of numbers 948, 315, 567, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 315, 567, 825 is 3.
1. What is the GCD of 948, 315, 567, 825?
GCD of given numbers 948, 315, 567, 825 is 3
2. How to calculate the greatest common divisor of 948, 315, 567, 825?
We can find the highest common divisor of 948, 315, 567, 825 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 948, 315, 567, 825 i.e 3.
3. How can I use the GCD of 948, 315, 567, 825Calculator?
Out the numbers 948, 315, 567, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.