Online GCD Calculator is useful to find the GCD of 380, 338, 553, 101 quickly. Get the easiest ways to solve the greatest common divisor of 380, 338, 553, 101 i.e 1 in different methods as follows.
Given Input numbers are 380, 338, 553, 101
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 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 553 :
The positive integer divisors of 553 that completely divides 553 are.
1, 7, 79, 553
Divisors of 101 :
The positive integer divisors of 101 that completely divides 101 are.
1, 101
GCD of numbers is the greatest common divisor
So, the GCD (380, 338, 553, 101) = 1.
Given numbers are 380, 338, 553, 101
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 338 are 2 x 13 x 13
Prime factors of 553 are 7 x 79
Prime factors of 101 are 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 380, 338, 553, 101
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 338) = 64220
GCD(380, 338) = ( 380 x 338 ) / 64220
= 380 / 338
= 380
Step2:
LCM(2, 553) = 1106
GCD(2, 553) = ( 2 x 553 ) / 1106
= 2 / 553
= 2
Step3:
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
= 1 / 101
= 1
So, Greatest Common Divisor of 380, 338, 553, 101 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 338, 553, 101
The greatest common divisor of numbers 380, 338, 553, 101 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 338, 553, 101 is 1.
1. What is the GCD of 380, 338, 553, 101?
GCD of given numbers 380, 338, 553, 101 is 1
2. How to calculate the greatest common divisor of 380, 338, 553, 101?
We can find the highest common divisor of 380, 338, 553, 101 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, 338, 553, 101 i.e 1.
3. How can I use the GCD of 380, 338, 553, 101Calculator?
Out the numbers 380, 338, 553, 101 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.