Online GCD Calculator is useful to find the GCD of 119, 238, 676, 760 quickly. Get the easiest ways to solve the greatest common divisor of 119, 238, 676, 760 i.e 1 in different methods as follows.
Given Input numbers are 119, 238, 676, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (119, 238, 676, 760) = 1.
Given numbers are 119, 238, 676, 760
The list of prime factors of all numbers are
Prime factors of 119 are 7 x 17
Prime factors of 238 are 2 x 7 x 17
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 119, 238, 676, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(119, 238) = 238
GCD(119, 238) = ( 119 x 238 ) / 238
= 119 / 238
= 119
Step2:
LCM(119, 676) = 80444
GCD(119, 676) = ( 119 x 676 ) / 80444
= 119 / 676
= 119
Step3:
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
= 1 / 760
= 1
So, Greatest Common Divisor of 119, 238, 676, 760 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 119, 238, 676, 760
The greatest common divisor of numbers 119, 238, 676, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 238, 676, 760 is 1.
1. What is the GCD of 119, 238, 676, 760?
GCD of given numbers 119, 238, 676, 760 is 1
2. How to calculate the greatest common divisor of 119, 238, 676, 760?
We can find the highest common divisor of 119, 238, 676, 760 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 119, 238, 676, 760 i.e 1.
3. How can I use the GCD of 119, 238, 676, 760Calculator?
Out the numbers 119, 238, 676, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.