Online GCD Calculator is useful to find the GCD of 948, 168, 189, 282 quickly. Get the easiest ways to solve the greatest common divisor of 948, 168, 189, 282 i.e 3 in different methods as follows.
Given Input numbers are 948, 168, 189, 282
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
GCD of numbers is the greatest common divisor
So, the GCD (948, 168, 189, 282) = 3.
Given numbers are 948, 168, 189, 282
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 282 are 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 948, 168, 189, 282 is 3.
Given numbers are 948, 168, 189, 282
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 168) = 13272
GCD(948, 168) = ( 948 x 168 ) / 13272
= 948 / 168
= 948
Step2:
LCM(12, 189) = 756
GCD(12, 189) = ( 12 x 189 ) / 756
= 12 / 189
= 12
Step3:
LCM(3, 282) = 282
GCD(3, 282) = ( 3 x 282 ) / 282
= 3 / 282
= 3
So, Greatest Common Divisor of 948, 168, 189, 282 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 168, 189, 282
The greatest common divisor of numbers 948, 168, 189, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 168, 189, 282 is 3.
1. What is the GCD of 948, 168, 189, 282?
GCD of given numbers 948, 168, 189, 282 is 3
2. How to calculate the greatest common divisor of 948, 168, 189, 282?
We can find the highest common divisor of 948, 168, 189, 282 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, 168, 189, 282 i.e 3.
3. How can I use the GCD of 948, 168, 189, 282Calculator?
Out the numbers 948, 168, 189, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.