Online GCD Calculator is useful to find the GCD of 697, 154, 108, 747 quickly. Get the easiest ways to solve the greatest common divisor of 697, 154, 108, 747 i.e 1 in different methods as follows.
Given Input numbers are 697, 154, 108, 747
In the factoring method, we have to find the divisors of all numbers
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (697, 154, 108, 747) = 1.
Given numbers are 697, 154, 108, 747
The list of prime factors of all numbers are
Prime factors of 697 are 17 x 41
Prime factors of 154 are 2 x 7 x 11
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 747 are 3 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 697, 154, 108, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(697, 154) = 107338
GCD(697, 154) = ( 697 x 154 ) / 107338
= 697 / 154
= 697
Step2:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
Step3:
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
= 1 / 747
= 1
So, Greatest Common Divisor of 697, 154, 108, 747 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 697, 154, 108, 747
The greatest common divisor of numbers 697, 154, 108, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 154, 108, 747 is 1.
1. What is the GCD of 697, 154, 108, 747?
GCD of given numbers 697, 154, 108, 747 is 1
2. How to calculate the greatest common divisor of 697, 154, 108, 747?
We can find the highest common divisor of 697, 154, 108, 747 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 697, 154, 108, 747 i.e 1.
3. How can I use the GCD of 697, 154, 108, 747Calculator?
Out the numbers 697, 154, 108, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.