Online GCD Calculator is useful to find the GCD of 910, 580, 370, 145 quickly. Get the easiest ways to solve the greatest common divisor of 910, 580, 370, 145 i.e 5 in different methods as follows.
Given Input numbers are 910, 580, 370, 145
In the factoring method, we have to find the divisors of all numbers
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
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 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
GCD of numbers is the greatest common divisor
So, the GCD (910, 580, 370, 145) = 5.
Given numbers are 910, 580, 370, 145
The list of prime factors of all numbers are
Prime factors of 910 are 2 x 5 x 7 x 13
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 370 are 2 x 5 x 37
Prime factors of 145 are 5 x 29
The highest common occurrence is 51
Therefore, GCD of 910, 580, 370, 145 is 5.
Given numbers are 910, 580, 370, 145
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(910, 580) = 52780
GCD(910, 580) = ( 910 x 580 ) / 52780
= 910 / 580
= 910
Step2:
LCM(10, 370) = 370
GCD(10, 370) = ( 10 x 370 ) / 370
= 10 / 370
= 10
Step3:
LCM(10, 145) = 290
GCD(10, 145) = ( 10 x 145 ) / 290
= 10 / 145
= 10
So, Greatest Common Divisor of 910, 580, 370, 145 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 910, 580, 370, 145
The greatest common divisor of numbers 910, 580, 370, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 910, 580, 370, 145 is 5.
1. What is the GCD of 910, 580, 370, 145?
GCD of given numbers 910, 580, 370, 145 is 5
2. How to calculate the greatest common divisor of 910, 580, 370, 145?
We can find the highest common divisor of 910, 580, 370, 145 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 910, 580, 370, 145 i.e 5.
3. How can I use the GCD of 910, 580, 370, 145Calculator?
Out the numbers 910, 580, 370, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.