Online GCD Calculator is useful to find the GCD of 948, 891, 249, 210 quickly. Get the easiest ways to solve the greatest common divisor of 948, 891, 249, 210 i.e 3 in different methods as follows.
Given Input numbers are 948, 891, 249, 210
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 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD of numbers is the greatest common divisor
So, the GCD (948, 891, 249, 210) = 3.
Given numbers are 948, 891, 249, 210
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 249 are 3 x 83
Prime factors of 210 are 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 948, 891, 249, 210 is 3.
Given numbers are 948, 891, 249, 210
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 891) = 281556
GCD(948, 891) = ( 948 x 891 ) / 281556
= 948 / 891
= 948
Step2:
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
= 3 / 249
= 3
Step3:
LCM(3, 210) = 210
GCD(3, 210) = ( 3 x 210 ) / 210
= 3 / 210
= 3
So, Greatest Common Divisor of 948, 891, 249, 210 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 891, 249, 210
The greatest common divisor of numbers 948, 891, 249, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 891, 249, 210 is 3.
1. What is the GCD of 948, 891, 249, 210?
GCD of given numbers 948, 891, 249, 210 is 3
2. How to calculate the greatest common divisor of 948, 891, 249, 210?
We can find the highest common divisor of 948, 891, 249, 210 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, 891, 249, 210 i.e 3.
3. How can I use the GCD of 948, 891, 249, 210Calculator?
Out the numbers 948, 891, 249, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.