Online GCD Calculator is useful to find the GCD of 948, 957, 528, 441 quickly. Get the easiest ways to solve the greatest common divisor of 948, 957, 528, 441 i.e 3 in different methods as follows.
Given Input numbers are 948, 957, 528, 441
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 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
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 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
GCD of numbers is the greatest common divisor
So, the GCD (948, 957, 528, 441) = 3.
Given numbers are 948, 957, 528, 441
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 957 are 3 x 11 x 29
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 441 are 3 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 948, 957, 528, 441 is 3.
Given numbers are 948, 957, 528, 441
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 957) = 302412
GCD(948, 957) = ( 948 x 957 ) / 302412
= 948 / 957
= 948
Step2:
LCM(3, 528) = 528
GCD(3, 528) = ( 3 x 528 ) / 528
= 3 / 528
= 3
Step3:
LCM(3, 441) = 441
GCD(3, 441) = ( 3 x 441 ) / 441
= 3 / 441
= 3
So, Greatest Common Divisor of 948, 957, 528, 441 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 957, 528, 441
The greatest common divisor of numbers 948, 957, 528, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 957, 528, 441 is 3.
1. What is the GCD of 948, 957, 528, 441?
GCD of given numbers 948, 957, 528, 441 is 3
2. How to calculate the greatest common divisor of 948, 957, 528, 441?
We can find the highest common divisor of 948, 957, 528, 441 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, 957, 528, 441 i.e 3.
3. How can I use the GCD of 948, 957, 528, 441Calculator?
Out the numbers 948, 957, 528, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.