Online GCD Calculator is useful to find the GCD of 380, 275, 175, 747 quickly. Get the easiest ways to solve the greatest common divisor of 380, 275, 175, 747 i.e 1 in different methods as follows.
Given Input numbers are 380, 275, 175, 747
In the factoring method, we have to find the divisors of all numbers
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 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (380, 275, 175, 747) = 1.
Given numbers are 380, 275, 175, 747
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 275 are 5 x 5 x 11
Prime factors of 175 are 5 x 5 x 7
Prime factors of 747 are 3 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 380, 275, 175, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 275) = 20900
GCD(380, 275) = ( 380 x 275 ) / 20900
= 380 / 275
= 380
Step2:
LCM(5, 175) = 175
GCD(5, 175) = ( 5 x 175 ) / 175
= 5 / 175
= 5
Step3:
LCM(5, 747) = 3735
GCD(5, 747) = ( 5 x 747 ) / 3735
= 5 / 747
= 5
So, Greatest Common Divisor of 380, 275, 175, 747 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 275, 175, 747
The greatest common divisor of numbers 380, 275, 175, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 275, 175, 747 is 1.
1. What is the GCD of 380, 275, 175, 747?
GCD of given numbers 380, 275, 175, 747 is 1
2. How to calculate the greatest common divisor of 380, 275, 175, 747?
We can find the highest common divisor of 380, 275, 175, 747 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 380, 275, 175, 747 i.e 1.
3. How can I use the GCD of 380, 275, 175, 747Calculator?
Out the numbers 380, 275, 175, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.