Online GCD Calculator is useful to find the GCD of 146, 682, 722, 352 quickly. Get the easiest ways to solve the greatest common divisor of 146, 682, 722, 352 i.e 2 in different methods as follows.
Given Input numbers are 146, 682, 722, 352
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (146, 682, 722, 352) = 2.
Given numbers are 146, 682, 722, 352
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 682 are 2 x 11 x 31
Prime factors of 722 are 2 x 19 x 19
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 146, 682, 722, 352 is 2.
Given numbers are 146, 682, 722, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 682) = 49786
GCD(146, 682) = ( 146 x 682 ) / 49786
= 146 / 682
= 146
Step2:
LCM(2, 722) = 722
GCD(2, 722) = ( 2 x 722 ) / 722
= 2 / 722
= 2
Step3:
LCM(2, 352) = 352
GCD(2, 352) = ( 2 x 352 ) / 352
= 2 / 352
= 2
So, Greatest Common Divisor of 146, 682, 722, 352 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 682, 722, 352
The greatest common divisor of numbers 146, 682, 722, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 682, 722, 352 is 2.
1. What is the GCD of 146, 682, 722, 352?
GCD of given numbers 146, 682, 722, 352 is 2
2. How to calculate the greatest common divisor of 146, 682, 722, 352?
We can find the highest common divisor of 146, 682, 722, 352 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 146, 682, 722, 352 i.e 2.
3. How can I use the GCD of 146, 682, 722, 352Calculator?
Out the numbers 146, 682, 722, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.