Online GCD Calculator is useful to find the GCD of 357, 600, 947, 299 quickly. Get the easiest ways to solve the greatest common divisor of 357, 600, 947, 299 i.e 1 in different methods as follows.
Given Input numbers are 357, 600, 947, 299
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
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 947 :
The positive integer divisors of 947 that completely divides 947 are.
1, 947
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
GCD of numbers is the greatest common divisor
So, the GCD (357, 600, 947, 299) = 1.
Given numbers are 357, 600, 947, 299
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 947 are 947
Prime factors of 299 are 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 357, 600, 947, 299
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 600) = 71400
GCD(357, 600) = ( 357 x 600 ) / 71400
= 357 / 600
= 357
Step2:
LCM(3, 947) = 2841
GCD(3, 947) = ( 3 x 947 ) / 2841
= 3 / 947
= 3
Step3:
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
= 1 / 299
= 1
So, Greatest Common Divisor of 357, 600, 947, 299 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 600, 947, 299
The greatest common divisor of numbers 357, 600, 947, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 600, 947, 299 is 1.
1. What is the GCD of 357, 600, 947, 299?
GCD of given numbers 357, 600, 947, 299 is 1
2. How to calculate the greatest common divisor of 357, 600, 947, 299?
We can find the highest common divisor of 357, 600, 947, 299 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 357, 600, 947, 299 i.e 1.
3. How can I use the GCD of 357, 600, 947, 299Calculator?
Out the numbers 357, 600, 947, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.