Online GCD Calculator is useful to find the GCD of 580, 154, 852, 348 quickly. Get the easiest ways to solve the greatest common divisor of 580, 154, 852, 348 i.e 2 in different methods as follows.
Given Input numbers are 580, 154, 852, 348
In the factoring method, we have to find the divisors of all numbers
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 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (580, 154, 852, 348) = 2.
Given numbers are 580, 154, 852, 348
The list of prime factors of all numbers are
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 154 are 2 x 7 x 11
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 580, 154, 852, 348 is 2.
Given numbers are 580, 154, 852, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(580, 154) = 44660
GCD(580, 154) = ( 580 x 154 ) / 44660
= 580 / 154
= 580
Step2:
LCM(2, 852) = 852
GCD(2, 852) = ( 2 x 852 ) / 852
= 2 / 852
= 2
Step3:
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
= 2 / 348
= 2
So, Greatest Common Divisor of 580, 154, 852, 348 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 580, 154, 852, 348
The greatest common divisor of numbers 580, 154, 852, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 154, 852, 348 is 2.
1. What is the GCD of 580, 154, 852, 348?
GCD of given numbers 580, 154, 852, 348 is 2
2. How to calculate the greatest common divisor of 580, 154, 852, 348?
We can find the highest common divisor of 580, 154, 852, 348 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 580, 154, 852, 348 i.e 2.
3. How can I use the GCD of 580, 154, 852, 348Calculator?
Out the numbers 580, 154, 852, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.