Online GCD Calculator is useful to find the GCD of 142, 580, 824, 652 quickly. Get the easiest ways to solve the greatest common divisor of 142, 580, 824, 652 i.e 2 in different methods as follows.
Given Input numbers are 142, 580, 824, 652
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (142, 580, 824, 652) = 2.
Given numbers are 142, 580, 824, 652
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 652 are 2 x 2 x 163
The highest common occurrence is 21
Therefore, GCD of 142, 580, 824, 652 is 2.
Given numbers are 142, 580, 824, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 580) = 41180
GCD(142, 580) = ( 142 x 580 ) / 41180
= 142 / 580
= 142
Step2:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
Step3:
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
= 2 / 652
= 2
So, Greatest Common Divisor of 142, 580, 824, 652 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 580, 824, 652
The greatest common divisor of numbers 142, 580, 824, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 580, 824, 652 is 2.
1. What is the GCD of 142, 580, 824, 652?
GCD of given numbers 142, 580, 824, 652 is 2
2. How to calculate the greatest common divisor of 142, 580, 824, 652?
We can find the highest common divisor of 142, 580, 824, 652 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 142, 580, 824, 652 i.e 2.
3. How can I use the GCD of 142, 580, 824, 652Calculator?
Out the numbers 142, 580, 824, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.