Online GCD Calculator is useful to find the GCD of 272, 260, 302, 182 quickly. Get the easiest ways to solve the greatest common divisor of 272, 260, 302, 182 i.e 2 in different methods as follows.
Given Input numbers are 272, 260, 302, 182
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 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (272, 260, 302, 182) = 2.
Given numbers are 272, 260, 302, 182
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 260 are 2 x 2 x 5 x 13
Prime factors of 302 are 2 x 151
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 272, 260, 302, 182 is 2.
Given numbers are 272, 260, 302, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 260) = 17680
GCD(272, 260) = ( 272 x 260 ) / 17680
= 272 / 260
= 272
Step2:
LCM(4, 302) = 604
GCD(4, 302) = ( 4 x 302 ) / 604
= 4 / 302
= 4
Step3:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
So, Greatest Common Divisor of 272, 260, 302, 182 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 260, 302, 182
The greatest common divisor of numbers 272, 260, 302, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 260, 302, 182 is 2.
1. What is the GCD of 272, 260, 302, 182?
GCD of given numbers 272, 260, 302, 182 is 2
2. How to calculate the greatest common divisor of 272, 260, 302, 182?
We can find the highest common divisor of 272, 260, 302, 182 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, 260, 302, 182 i.e 2.
3. How can I use the GCD of 272, 260, 302, 182Calculator?
Out the numbers 272, 260, 302, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.