Online GCD Calculator is useful to find the GCD of 252, 340, 116, 406 quickly. Get the easiest ways to solve the greatest common divisor of 252, 340, 116, 406 i.e 2 in different methods as follows.
Given Input numbers are 252, 340, 116, 406
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
GCD of numbers is the greatest common divisor
So, the GCD (252, 340, 116, 406) = 2.
Given numbers are 252, 340, 116, 406
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 116 are 2 x 2 x 29
Prime factors of 406 are 2 x 7 x 29
The highest common occurrence is 21
Therefore, GCD of 252, 340, 116, 406 is 2.
Given numbers are 252, 340, 116, 406
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 340) = 21420
GCD(252, 340) = ( 252 x 340 ) / 21420
= 252 / 340
= 252
Step2:
LCM(4, 116) = 116
GCD(4, 116) = ( 4 x 116 ) / 116
= 4 / 116
= 4
Step3:
LCM(4, 406) = 812
GCD(4, 406) = ( 4 x 406 ) / 812
= 4 / 406
= 4
So, Greatest Common Divisor of 252, 340, 116, 406 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 340, 116, 406
The greatest common divisor of numbers 252, 340, 116, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 340, 116, 406 is 2.
1. What is the GCD of 252, 340, 116, 406?
GCD of given numbers 252, 340, 116, 406 is 2
2. How to calculate the greatest common divisor of 252, 340, 116, 406?
We can find the highest common divisor of 252, 340, 116, 406 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 252, 340, 116, 406 i.e 2.
3. How can I use the GCD of 252, 340, 116, 406Calculator?
Out the numbers 252, 340, 116, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.