Online GCD Calculator is useful to find the GCD of 402, 670, 516, 272 quickly. Get the easiest ways to solve the greatest common divisor of 402, 670, 516, 272 i.e 2 in different methods as follows.
Given Input numbers are 402, 670, 516, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (402, 670, 516, 272) = 2.
Given numbers are 402, 670, 516, 272
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 670 are 2 x 5 x 67
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 402, 670, 516, 272 is 2.
Given numbers are 402, 670, 516, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 670) = 2010
GCD(402, 670) = ( 402 x 670 ) / 2010
= 402 / 670
= 402
Step2:
LCM(134, 516) = 34572
GCD(134, 516) = ( 134 x 516 ) / 34572
= 134 / 516
= 134
Step3:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
So, Greatest Common Divisor of 402, 670, 516, 272 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 670, 516, 272
The greatest common divisor of numbers 402, 670, 516, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 670, 516, 272 is 2.
1. What is the GCD of 402, 670, 516, 272?
GCD of given numbers 402, 670, 516, 272 is 2
2. How to calculate the greatest common divisor of 402, 670, 516, 272?
We can find the highest common divisor of 402, 670, 516, 272 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 402, 670, 516, 272 i.e 2.
3. How can I use the GCD of 402, 670, 516, 272Calculator?
Out the numbers 402, 670, 516, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.