Online GCD Calculator is useful to find the GCD of 714, 668, 553, 709 quickly. Get the easiest ways to solve the greatest common divisor of 714, 668, 553, 709 i.e 1 in different methods as follows.
Given Input numbers are 714, 668, 553, 709
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 553 :
The positive integer divisors of 553 that completely divides 553 are.
1, 7, 79, 553
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
GCD of numbers is the greatest common divisor
So, the GCD (714, 668, 553, 709) = 1.
Given numbers are 714, 668, 553, 709
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 668 are 2 x 2 x 167
Prime factors of 553 are 7 x 79
Prime factors of 709 are 709
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 714, 668, 553, 709
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 668) = 238476
GCD(714, 668) = ( 714 x 668 ) / 238476
= 714 / 668
= 714
Step2:
LCM(2, 553) = 1106
GCD(2, 553) = ( 2 x 553 ) / 1106
= 2 / 553
= 2
Step3:
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
= 1 / 709
= 1
So, Greatest Common Divisor of 714, 668, 553, 709 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 668, 553, 709
The greatest common divisor of numbers 714, 668, 553, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 668, 553, 709 is 1.
1. What is the GCD of 714, 668, 553, 709?
GCD of given numbers 714, 668, 553, 709 is 1
2. How to calculate the greatest common divisor of 714, 668, 553, 709?
We can find the highest common divisor of 714, 668, 553, 709 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 714, 668, 553, 709 i.e 1.
3. How can I use the GCD of 714, 668, 553, 709Calculator?
Out the numbers 714, 668, 553, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.