Online GCD Calculator is useful to find the GCD of 356, 668, 162, 714 quickly. Get the easiest ways to solve the greatest common divisor of 356, 668, 162, 714 i.e 2 in different methods as follows.
Given Input numbers are 356, 668, 162, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (356, 668, 162, 714) = 2.
Given numbers are 356, 668, 162, 714
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 668 are 2 x 2 x 167
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 356, 668, 162, 714 is 2.
Given numbers are 356, 668, 162, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 668) = 59452
GCD(356, 668) = ( 356 x 668 ) / 59452
= 356 / 668
= 356
Step2:
LCM(4, 162) = 324
GCD(4, 162) = ( 4 x 162 ) / 324
= 4 / 162
= 4
Step3:
LCM(2, 714) = 714
GCD(2, 714) = ( 2 x 714 ) / 714
= 2 / 714
= 2
So, Greatest Common Divisor of 356, 668, 162, 714 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 668, 162, 714
The greatest common divisor of numbers 356, 668, 162, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 668, 162, 714 is 2.
1. What is the GCD of 356, 668, 162, 714?
GCD of given numbers 356, 668, 162, 714 is 2
2. How to calculate the greatest common divisor of 356, 668, 162, 714?
We can find the highest common divisor of 356, 668, 162, 714 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 356, 668, 162, 714 i.e 2.
3. How can I use the GCD of 356, 668, 162, 714Calculator?
Out the numbers 356, 668, 162, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.