Online GCD Calculator is useful to find the GCD of 272, 248, 364, 894 quickly. Get the easiest ways to solve the greatest common divisor of 272, 248, 364, 894 i.e 2 in different methods as follows.
Given Input numbers are 272, 248, 364, 894
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
GCD of numbers is the greatest common divisor
So, the GCD (272, 248, 364, 894) = 2.
Given numbers are 272, 248, 364, 894
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 894 are 2 x 3 x 149
The highest common occurrence is 21
Therefore, GCD of 272, 248, 364, 894 is 2.
Given numbers are 272, 248, 364, 894
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 248) = 8432
GCD(272, 248) = ( 272 x 248 ) / 8432
= 272 / 248
= 272
Step2:
LCM(8, 364) = 728
GCD(8, 364) = ( 8 x 364 ) / 728
= 8 / 364
= 8
Step3:
LCM(4, 894) = 1788
GCD(4, 894) = ( 4 x 894 ) / 1788
= 4 / 894
= 4
So, Greatest Common Divisor of 272, 248, 364, 894 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 248, 364, 894
The greatest common divisor of numbers 272, 248, 364, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 248, 364, 894 is 2.
1. What is the GCD of 272, 248, 364, 894?
GCD of given numbers 272, 248, 364, 894 is 2
2. How to calculate the greatest common divisor of 272, 248, 364, 894?
We can find the highest common divisor of 272, 248, 364, 894 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 272, 248, 364, 894 i.e 2.
3. How can I use the GCD of 272, 248, 364, 894Calculator?
Out the numbers 272, 248, 364, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.