Online GCD Calculator is useful to find the GCD of 308, 225, 139, 714 quickly. Get the easiest ways to solve the greatest common divisor of 308, 225, 139, 714 i.e 1 in different methods as follows.
Given Input numbers are 308, 225, 139, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 139 :
The positive integer divisors of 139 that completely divides 139 are.
1, 139
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (308, 225, 139, 714) = 1.
Given numbers are 308, 225, 139, 714
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 139 are 139
Prime factors of 714 are 2 x 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 308, 225, 139, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 225) = 69300
GCD(308, 225) = ( 308 x 225 ) / 69300
= 308 / 225
= 308
Step2:
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
= 1 / 139
= 1
Step3:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
So, Greatest Common Divisor of 308, 225, 139, 714 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 225, 139, 714
The greatest common divisor of numbers 308, 225, 139, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 225, 139, 714 is 1.
1. What is the GCD of 308, 225, 139, 714?
GCD of given numbers 308, 225, 139, 714 is 1
2. How to calculate the greatest common divisor of 308, 225, 139, 714?
We can find the highest common divisor of 308, 225, 139, 714 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 308, 225, 139, 714 i.e 1.
3. How can I use the GCD of 308, 225, 139, 714Calculator?
Out the numbers 308, 225, 139, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.