Online GCD Calculator is useful to find the GCD of 732, 314, 655, 714 quickly. Get the easiest ways to solve the greatest common divisor of 732, 314, 655, 714 i.e 1 in different methods as follows.
Given Input numbers are 732, 314, 655, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
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 (732, 314, 655, 714) = 1.
Given numbers are 732, 314, 655, 714
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 314 are 2 x 157
Prime factors of 655 are 5 x 131
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 732, 314, 655, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 314) = 114924
GCD(732, 314) = ( 732 x 314 ) / 114924
= 732 / 314
= 732
Step2:
LCM(2, 655) = 1310
GCD(2, 655) = ( 2 x 655 ) / 1310
= 2 / 655
= 2
Step3:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
So, Greatest Common Divisor of 732, 314, 655, 714 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 314, 655, 714
The greatest common divisor of numbers 732, 314, 655, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 314, 655, 714 is 1.
1. What is the GCD of 732, 314, 655, 714?
GCD of given numbers 732, 314, 655, 714 is 1
2. How to calculate the greatest common divisor of 732, 314, 655, 714?
We can find the highest common divisor of 732, 314, 655, 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 732, 314, 655, 714 i.e 1.
3. How can I use the GCD of 732, 314, 655, 714Calculator?
Out the numbers 732, 314, 655, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.