Online GCD Calculator is useful to find the GCD of 100, 697, 560, 322 quickly. Get the easiest ways to solve the greatest common divisor of 100, 697, 560, 322 i.e 1 in different methods as follows.
Given Input numbers are 100, 697, 560, 322
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (100, 697, 560, 322) = 1.
Given numbers are 100, 697, 560, 322
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 697 are 17 x 41
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 322 are 2 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 697, 560, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 697) = 69700
GCD(100, 697) = ( 100 x 697 ) / 69700
= 100 / 697
= 100
Step2:
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
= 1 / 560
= 1
Step3:
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
= 1 / 322
= 1
So, Greatest Common Divisor of 100, 697, 560, 322 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 697, 560, 322
The greatest common divisor of numbers 100, 697, 560, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 697, 560, 322 is 1.
1. What is the GCD of 100, 697, 560, 322?
GCD of given numbers 100, 697, 560, 322 is 1
2. How to calculate the greatest common divisor of 100, 697, 560, 322?
We can find the highest common divisor of 100, 697, 560, 322 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 100, 697, 560, 322 i.e 1.
3. How can I use the GCD of 100, 697, 560, 322Calculator?
Out the numbers 100, 697, 560, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.