Online GCD Calculator is useful to find the GCD of 272, 946, 536, 322 quickly. Get the easiest ways to solve the greatest common divisor of 272, 946, 536, 322 i.e 2 in different methods as follows.
Given Input numbers are 272, 946, 536, 322
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 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (272, 946, 536, 322) = 2.
Given numbers are 272, 946, 536, 322
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 946 are 2 x 11 x 43
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 322 are 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 272, 946, 536, 322 is 2.
Given numbers are 272, 946, 536, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 946) = 128656
GCD(272, 946) = ( 272 x 946 ) / 128656
= 272 / 946
= 272
Step2:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
Step3:
LCM(2, 322) = 322
GCD(2, 322) = ( 2 x 322 ) / 322
= 2 / 322
= 2
So, Greatest Common Divisor of 272, 946, 536, 322 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 946, 536, 322
The greatest common divisor of numbers 272, 946, 536, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 946, 536, 322 is 2.
1. What is the GCD of 272, 946, 536, 322?
GCD of given numbers 272, 946, 536, 322 is 2
2. How to calculate the greatest common divisor of 272, 946, 536, 322?
We can find the highest common divisor of 272, 946, 536, 322 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, 946, 536, 322 i.e 2.
3. How can I use the GCD of 272, 946, 536, 322Calculator?
Out the numbers 272, 946, 536, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.