Online GCD Calculator is useful to find the GCD of 146, 592, 702, 588 quickly. Get the easiest ways to solve the greatest common divisor of 146, 592, 702, 588 i.e 2 in different methods as follows.
Given Input numbers are 146, 592, 702, 588
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 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (146, 592, 702, 588) = 2.
Given numbers are 146, 592, 702, 588
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 146, 592, 702, 588 is 2.
Given numbers are 146, 592, 702, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 592) = 43216
GCD(146, 592) = ( 146 x 592 ) / 43216
= 146 / 592
= 146
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
= 2 / 588
= 2
So, Greatest Common Divisor of 146, 592, 702, 588 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 592, 702, 588
The greatest common divisor of numbers 146, 592, 702, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 592, 702, 588 is 2.
1. What is the GCD of 146, 592, 702, 588?
GCD of given numbers 146, 592, 702, 588 is 2
2. How to calculate the greatest common divisor of 146, 592, 702, 588?
We can find the highest common divisor of 146, 592, 702, 588 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, 592, 702, 588 i.e 2.
3. How can I use the GCD of 146, 592, 702, 588Calculator?
Out the numbers 146, 592, 702, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.