Online GCD Calculator is useful to find the GCD of 747, 897, 814, 708 quickly. Get the easiest ways to solve the greatest common divisor of 747, 897, 814, 708 i.e 1 in different methods as follows.
Given Input numbers are 747, 897, 814, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (747, 897, 814, 708) = 1.
Given numbers are 747, 897, 814, 708
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 897 are 3 x 13 x 23
Prime factors of 814 are 2 x 11 x 37
Prime factors of 708 are 2 x 2 x 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 747, 897, 814, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 897) = 223353
GCD(747, 897) = ( 747 x 897 ) / 223353
= 747 / 897
= 747
Step2:
LCM(3, 814) = 2442
GCD(3, 814) = ( 3 x 814 ) / 2442
= 3 / 814
= 3
Step3:
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
= 1 / 708
= 1
So, Greatest Common Divisor of 747, 897, 814, 708 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 897, 814, 708
The greatest common divisor of numbers 747, 897, 814, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 897, 814, 708 is 1.
1. What is the GCD of 747, 897, 814, 708?
GCD of given numbers 747, 897, 814, 708 is 1
2. How to calculate the greatest common divisor of 747, 897, 814, 708?
We can find the highest common divisor of 747, 897, 814, 708 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 747, 897, 814, 708 i.e 1.
3. How can I use the GCD of 747, 897, 814, 708Calculator?
Out the numbers 747, 897, 814, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.