Online GCD Calculator is useful to find the GCD of 945, 200, 584, 691 quickly. Get the easiest ways to solve the greatest common divisor of 945, 200, 584, 691 i.e 1 in different methods as follows.
Given Input numbers are 945, 200, 584, 691
In the factoring method, we have to find the divisors of all numbers
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
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 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
GCD of numbers is the greatest common divisor
So, the GCD (945, 200, 584, 691) = 1.
Given numbers are 945, 200, 584, 691
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 691 are 691
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 945, 200, 584, 691
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 200) = 37800
GCD(945, 200) = ( 945 x 200 ) / 37800
= 945 / 200
= 945
Step2:
LCM(5, 584) = 2920
GCD(5, 584) = ( 5 x 584 ) / 2920
= 5 / 584
= 5
Step3:
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
= 1 / 691
= 1
So, Greatest Common Divisor of 945, 200, 584, 691 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 945, 200, 584, 691
The greatest common divisor of numbers 945, 200, 584, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 200, 584, 691 is 1.
1. What is the GCD of 945, 200, 584, 691?
GCD of given numbers 945, 200, 584, 691 is 1
2. How to calculate the greatest common divisor of 945, 200, 584, 691?
We can find the highest common divisor of 945, 200, 584, 691 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 945, 200, 584, 691 i.e 1.
3. How can I use the GCD of 945, 200, 584, 691Calculator?
Out the numbers 945, 200, 584, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.