Online GCD Calculator is useful to find the GCD of 197, 423, 600, 688 quickly. Get the easiest ways to solve the greatest common divisor of 197, 423, 600, 688 i.e 1 in different methods as follows.
Given Input numbers are 197, 423, 600, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 197 :
The positive integer divisors of 197 that completely divides 197 are.
1, 197
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (197, 423, 600, 688) = 1.
Given numbers are 197, 423, 600, 688
The list of prime factors of all numbers are
Prime factors of 197 are 197
Prime factors of 423 are 3 x 3 x 47
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 197, 423, 600, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(197, 423) = 83331
GCD(197, 423) = ( 197 x 423 ) / 83331
= 197 / 423
= 197
Step2:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
Step3:
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
= 1 / 688
= 1
So, Greatest Common Divisor of 197, 423, 600, 688 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 197, 423, 600, 688
The greatest common divisor of numbers 197, 423, 600, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 197, 423, 600, 688 is 1.
1. What is the GCD of 197, 423, 600, 688?
GCD of given numbers 197, 423, 600, 688 is 1
2. How to calculate the greatest common divisor of 197, 423, 600, 688?
We can find the highest common divisor of 197, 423, 600, 688 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 197, 423, 600, 688 i.e 1.
3. How can I use the GCD of 197, 423, 600, 688Calculator?
Out the numbers 197, 423, 600, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.