Online GCD Calculator is useful to find the GCD of 948, 237, 633, 144 quickly. Get the easiest ways to solve the greatest common divisor of 948, 237, 633, 144 i.e 3 in different methods as follows.
Given Input numbers are 948, 237, 633, 144
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 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (948, 237, 633, 144) = 3.
Given numbers are 948, 237, 633, 144
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 237 are 3 x 79
Prime factors of 633 are 3 x 211
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 948, 237, 633, 144 is 3.
Given numbers are 948, 237, 633, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 237) = 948
GCD(948, 237) = ( 948 x 237 ) / 948
= 948 / 237
= 948
Step2:
LCM(237, 633) = 50007
GCD(237, 633) = ( 237 x 633 ) / 50007
= 237 / 633
= 237
Step3:
LCM(3, 144) = 144
GCD(3, 144) = ( 3 x 144 ) / 144
= 3 / 144
= 3
So, Greatest Common Divisor of 948, 237, 633, 144 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 237, 633, 144
The greatest common divisor of numbers 948, 237, 633, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 237, 633, 144 is 3.
1. What is the GCD of 948, 237, 633, 144?
GCD of given numbers 948, 237, 633, 144 is 3
2. How to calculate the greatest common divisor of 948, 237, 633, 144?
We can find the highest common divisor of 948, 237, 633, 144 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, 237, 633, 144 i.e 3.
3. How can I use the GCD of 948, 237, 633, 144Calculator?
Out the numbers 948, 237, 633, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.