Online GCD Calculator is useful to find the GCD of 470, 580, 376, 374 quickly. Get the easiest ways to solve the greatest common divisor of 470, 580, 376, 374 i.e 2 in different methods as follows.
Given Input numbers are 470, 580, 376, 374
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
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 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
GCD of numbers is the greatest common divisor
So, the GCD (470, 580, 376, 374) = 2.
Given numbers are 470, 580, 376, 374
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 374 are 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 470, 580, 376, 374 is 2.
Given numbers are 470, 580, 376, 374
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 580) = 27260
GCD(470, 580) = ( 470 x 580 ) / 27260
= 470 / 580
= 470
Step2:
LCM(10, 376) = 1880
GCD(10, 376) = ( 10 x 376 ) / 1880
= 10 / 376
= 10
Step3:
LCM(2, 374) = 374
GCD(2, 374) = ( 2 x 374 ) / 374
= 2 / 374
= 2
So, Greatest Common Divisor of 470, 580, 376, 374 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 580, 376, 374
The greatest common divisor of numbers 470, 580, 376, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 580, 376, 374 is 2.
1. What is the GCD of 470, 580, 376, 374?
GCD of given numbers 470, 580, 376, 374 is 2
2. How to calculate the greatest common divisor of 470, 580, 376, 374?
We can find the highest common divisor of 470, 580, 376, 374 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 470, 580, 376, 374 i.e 2.
3. How can I use the GCD of 470, 580, 376, 374Calculator?
Out the numbers 470, 580, 376, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.