Online GCD Calculator is useful to find the GCD of 200, 525, 697, 970 quickly. Get the easiest ways to solve the greatest common divisor of 200, 525, 697, 970 i.e 1 in different methods as follows.
Given Input numbers are 200, 525, 697, 970
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
GCD of numbers is the greatest common divisor
So, the GCD (200, 525, 697, 970) = 1.
Given numbers are 200, 525, 697, 970
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 697 are 17 x 41
Prime factors of 970 are 2 x 5 x 97
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 525, 697, 970
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 525) = 4200
GCD(200, 525) = ( 200 x 525 ) / 4200
= 200 / 525
= 200
Step2:
LCM(25, 697) = 17425
GCD(25, 697) = ( 25 x 697 ) / 17425
= 25 / 697
= 25
Step3:
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
= 1 / 970
= 1
So, Greatest Common Divisor of 200, 525, 697, 970 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 525, 697, 970
The greatest common divisor of numbers 200, 525, 697, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 525, 697, 970 is 1.
1. What is the GCD of 200, 525, 697, 970?
GCD of given numbers 200, 525, 697, 970 is 1
2. How to calculate the greatest common divisor of 200, 525, 697, 970?
We can find the highest common divisor of 200, 525, 697, 970 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 200, 525, 697, 970 i.e 1.
3. How can I use the GCD of 200, 525, 697, 970Calculator?
Out the numbers 200, 525, 697, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.