Online GCD Calculator is useful to find the GCD of 697, 557, 774, 920 quickly. Get the easiest ways to solve the greatest common divisor of 697, 557, 774, 920 i.e 1 in different methods as follows.
Given Input numbers are 697, 557, 774, 920
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 557 :
The positive integer divisors of 557 that completely divides 557 are.
1, 557
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (697, 557, 774, 920) = 1.
Given numbers are 697, 557, 774, 920
The list of prime factors of all numbers are
Prime factors of 697 are 17 x 41
Prime factors of 557 are 557
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 697, 557, 774, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(697, 557) = 388229
GCD(697, 557) = ( 697 x 557 ) / 388229
= 697 / 557
= 697
Step2:
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
= 1 / 774
= 1
Step3:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
So, Greatest Common Divisor of 697, 557, 774, 920 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 697, 557, 774, 920
The greatest common divisor of numbers 697, 557, 774, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 557, 774, 920 is 1.
1. What is the GCD of 697, 557, 774, 920?
GCD of given numbers 697, 557, 774, 920 is 1
2. How to calculate the greatest common divisor of 697, 557, 774, 920?
We can find the highest common divisor of 697, 557, 774, 920 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, 557, 774, 920 i.e 1.
3. How can I use the GCD of 697, 557, 774, 920Calculator?
Out the numbers 697, 557, 774, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.