Online GCD Calculator is useful to find the GCD of 126, 354, 772, 666 quickly. Get the easiest ways to solve the greatest common divisor of 126, 354, 772, 666 i.e 2 in different methods as follows.
Given Input numbers are 126, 354, 772, 666
In the factoring method, we have to find the divisors of all numbers
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 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
GCD of numbers is the greatest common divisor
So, the GCD (126, 354, 772, 666) = 2.
Given numbers are 126, 354, 772, 666
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 354 are 2 x 3 x 59
Prime factors of 772 are 2 x 2 x 193
Prime factors of 666 are 2 x 3 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 126, 354, 772, 666 is 2.
Given numbers are 126, 354, 772, 666
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 354) = 7434
GCD(126, 354) = ( 126 x 354 ) / 7434
= 126 / 354
= 126
Step2:
LCM(6, 772) = 2316
GCD(6, 772) = ( 6 x 772 ) / 2316
= 6 / 772
= 6
Step3:
LCM(2, 666) = 666
GCD(2, 666) = ( 2 x 666 ) / 666
= 2 / 666
= 2
So, Greatest Common Divisor of 126, 354, 772, 666 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 354, 772, 666
The greatest common divisor of numbers 126, 354, 772, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 354, 772, 666 is 2.
1. What is the GCD of 126, 354, 772, 666?
GCD of given numbers 126, 354, 772, 666 is 2
2. How to calculate the greatest common divisor of 126, 354, 772, 666?
We can find the highest common divisor of 126, 354, 772, 666 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 126, 354, 772, 666 i.e 2.
3. How can I use the GCD of 126, 354, 772, 666Calculator?
Out the numbers 126, 354, 772, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.