Online GCD Calculator is useful to find the GCD of 300, 897, 802, 340 quickly. Get the easiest ways to solve the greatest common divisor of 300, 897, 802, 340 i.e 1 in different methods as follows.
Given Input numbers are 300, 897, 802, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (300, 897, 802, 340) = 1.
Given numbers are 300, 897, 802, 340
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 897 are 3 x 13 x 23
Prime factors of 802 are 2 x 401
Prime factors of 340 are 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 897, 802, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 897) = 89700
GCD(300, 897) = ( 300 x 897 ) / 89700
= 300 / 897
= 300
Step2:
LCM(3, 802) = 2406
GCD(3, 802) = ( 3 x 802 ) / 2406
= 3 / 802
= 3
Step3:
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
= 1 / 340
= 1
So, Greatest Common Divisor of 300, 897, 802, 340 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 897, 802, 340
The greatest common divisor of numbers 300, 897, 802, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 897, 802, 340 is 1.
1. What is the GCD of 300, 897, 802, 340?
GCD of given numbers 300, 897, 802, 340 is 1
2. How to calculate the greatest common divisor of 300, 897, 802, 340?
We can find the highest common divisor of 300, 897, 802, 340 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 300, 897, 802, 340 i.e 1.
3. How can I use the GCD of 300, 897, 802, 340Calculator?
Out the numbers 300, 897, 802, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.