Online GCD Calculator is useful to find the GCD of 269, 380, 734 quickly. Get the easiest ways to solve the greatest common divisor of 269, 380, 734 i.e 1 in different methods as follows.
Given Input numbers are 269, 380, 734
In the factoring method, we have to find the divisors of all numbers
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
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 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
GCD of numbers is the greatest common divisor
So, the GCD (269, 380, 734) = 1.
Given numbers are 269, 380, 734
The list of prime factors of all numbers are
Prime factors of 269 are 269
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 734 are 2 x 367
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 269, 380, 734
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(269, 380) = 102220
GCD(269, 380) = ( 269 x 380 ) / 102220
= 269 / 380
= 269
Step2:
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
= 1 / 734
= 1
So, Greatest Common Divisor of 269, 380, 734 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 269, 380, 734
The greatest common divisor of numbers 269, 380, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 380, 734 is 1.
1. What is the GCD of 269, 380, 734?
GCD of given numbers 269, 380, 734 is 1
2. How to calculate the greatest common divisor of 269, 380, 734?
We can find the highest common divisor of 269, 380, 734 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 269, 380, 734 i.e 1.
3. How can I use the GCD of 269, 380, 734Calculator?
Out the numbers 269, 380, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.