Online GCD Calculator is useful to find the GCD of 272, 484, 340, 470 quickly. Get the easiest ways to solve the greatest common divisor of 272, 484, 340, 470 i.e 2 in different methods as follows.
Given Input numbers are 272, 484, 340, 470
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (272, 484, 340, 470) = 2.
Given numbers are 272, 484, 340, 470
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 484 are 2 x 2 x 11 x 11
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 470 are 2 x 5 x 47
The highest common occurrence is 21
Therefore, GCD of 272, 484, 340, 470 is 2.
Given numbers are 272, 484, 340, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 484) = 32912
GCD(272, 484) = ( 272 x 484 ) / 32912
= 272 / 484
= 272
Step2:
LCM(4, 340) = 340
GCD(4, 340) = ( 4 x 340 ) / 340
= 4 / 340
= 4
Step3:
LCM(4, 470) = 940
GCD(4, 470) = ( 4 x 470 ) / 940
= 4 / 470
= 4
So, Greatest Common Divisor of 272, 484, 340, 470 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 484, 340, 470
The greatest common divisor of numbers 272, 484, 340, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 484, 340, 470 is 2.
1. What is the GCD of 272, 484, 340, 470?
GCD of given numbers 272, 484, 340, 470 is 2
2. How to calculate the greatest common divisor of 272, 484, 340, 470?
We can find the highest common divisor of 272, 484, 340, 470 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, 484, 340, 470 i.e 2.
3. How can I use the GCD of 272, 484, 340, 470Calculator?
Out the numbers 272, 484, 340, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.