Online GCD Calculator is useful to find the GCD of 708, 354, 126, 226 quickly. Get the easiest ways to solve the greatest common divisor of 708, 354, 126, 226 i.e 2 in different methods as follows.
Given Input numbers are 708, 354, 126, 226
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
GCD of numbers is the greatest common divisor
So, the GCD (708, 354, 126, 226) = 2.
Given numbers are 708, 354, 126, 226
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 354 are 2 x 3 x 59
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 226 are 2 x 113
The highest common occurrence is 21
Therefore, GCD of 708, 354, 126, 226 is 2.
Given numbers are 708, 354, 126, 226
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 354) = 708
GCD(708, 354) = ( 708 x 354 ) / 708
= 708 / 354
= 708
Step2:
LCM(354, 126) = 7434
GCD(354, 126) = ( 354 x 126 ) / 7434
= 354 / 126
= 354
Step3:
LCM(6, 226) = 678
GCD(6, 226) = ( 6 x 226 ) / 678
= 6 / 226
= 6
So, Greatest Common Divisor of 708, 354, 126, 226 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 354, 126, 226
The greatest common divisor of numbers 708, 354, 126, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 354, 126, 226 is 2.
1. What is the GCD of 708, 354, 126, 226?
GCD of given numbers 708, 354, 126, 226 is 2
2. How to calculate the greatest common divisor of 708, 354, 126, 226?
We can find the highest common divisor of 708, 354, 126, 226 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 708, 354, 126, 226 i.e 2.
3. How can I use the GCD of 708, 354, 126, 226Calculator?
Out the numbers 708, 354, 126, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.