Online GCD Calculator is useful to find the GCD of 426, 412, 152, 208 quickly. Get the easiest ways to solve the greatest common divisor of 426, 412, 152, 208 i.e 2 in different methods as follows.
Given Input numbers are 426, 412, 152, 208
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (426, 412, 152, 208) = 2.
Given numbers are 426, 412, 152, 208
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 412 are 2 x 2 x 103
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 426, 412, 152, 208 is 2.
Given numbers are 426, 412, 152, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 412) = 87756
GCD(426, 412) = ( 426 x 412 ) / 87756
= 426 / 412
= 426
Step2:
LCM(2, 152) = 152
GCD(2, 152) = ( 2 x 152 ) / 152
= 2 / 152
= 2
Step3:
LCM(2, 208) = 208
GCD(2, 208) = ( 2 x 208 ) / 208
= 2 / 208
= 2
So, Greatest Common Divisor of 426, 412, 152, 208 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 412, 152, 208
The greatest common divisor of numbers 426, 412, 152, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 412, 152, 208 is 2.
1. What is the GCD of 426, 412, 152, 208?
GCD of given numbers 426, 412, 152, 208 is 2
2. How to calculate the greatest common divisor of 426, 412, 152, 208?
We can find the highest common divisor of 426, 412, 152, 208 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 426, 412, 152, 208 i.e 2.
3. How can I use the GCD of 426, 412, 152, 208Calculator?
Out the numbers 426, 412, 152, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.