Online GCD Calculator is useful to find the GCD of 375, 380, 340 quickly. Get the easiest ways to solve the greatest common divisor of 375, 380, 340 i.e 5 in different methods as follows.
Given Input numbers are 375, 380, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (375, 380, 340) = 5.
Given numbers are 375, 380, 340
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 51
Therefore, GCD of 375, 380, 340 is 5.
Given numbers are 375, 380, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 380) = 28500
GCD(375, 380) = ( 375 x 380 ) / 28500
= 375 / 380
= 375
Step2:
LCM(5, 340) = 340
GCD(5, 340) = ( 5 x 340 ) / 340
= 5 / 340
= 5
So, Greatest Common Divisor of 375, 380, 340 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 380, 340
The greatest common divisor of numbers 375, 380, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 380, 340 is 5.
1. What is the GCD of 375, 380, 340?
GCD of given numbers 375, 380, 340 is 5
2. How to calculate the greatest common divisor of 375, 380, 340?
We can find the highest common divisor of 375, 380, 340 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 375, 380, 340 i.e 5.
3. How can I use the GCD of 375, 380, 340Calculator?
Out the numbers 375, 380, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.