Online GCD Calculator is useful to find the GCD of 909, 852, 200, 714 quickly. Get the easiest ways to solve the greatest common divisor of 909, 852, 200, 714 i.e 1 in different methods as follows.
Given Input numbers are 909, 852, 200, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (909, 852, 200, 714) = 1.
Given numbers are 909, 852, 200, 714
The list of prime factors of all numbers are
Prime factors of 909 are 3 x 3 x 101
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 714 are 2 x 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 909, 852, 200, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(909, 852) = 258156
GCD(909, 852) = ( 909 x 852 ) / 258156
= 909 / 852
= 909
Step2:
LCM(3, 200) = 600
GCD(3, 200) = ( 3 x 200 ) / 600
= 3 / 200
= 3
Step3:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
So, Greatest Common Divisor of 909, 852, 200, 714 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 909, 852, 200, 714
The greatest common divisor of numbers 909, 852, 200, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 852, 200, 714 is 1.
1. What is the GCD of 909, 852, 200, 714?
GCD of given numbers 909, 852, 200, 714 is 1
2. How to calculate the greatest common divisor of 909, 852, 200, 714?
We can find the highest common divisor of 909, 852, 200, 714 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 909, 852, 200, 714 i.e 1.
3. How can I use the GCD of 909, 852, 200, 714Calculator?
Out the numbers 909, 852, 200, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.