Online GCD Calculator is useful to find the GCD of 302, 100, 957, 729 quickly. Get the easiest ways to solve the greatest common divisor of 302, 100, 957, 729 i.e 1 in different methods as follows.
Given Input numbers are 302, 100, 957, 729
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
GCD of numbers is the greatest common divisor
So, the GCD (302, 100, 957, 729) = 1.
Given numbers are 302, 100, 957, 729
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 957 are 3 x 11 x 29
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 302, 100, 957, 729
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 100) = 15100
GCD(302, 100) = ( 302 x 100 ) / 15100
= 302 / 100
= 302
Step2:
LCM(2, 957) = 1914
GCD(2, 957) = ( 2 x 957 ) / 1914
= 2 / 957
= 2
Step3:
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
= 1 / 729
= 1
So, Greatest Common Divisor of 302, 100, 957, 729 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 100, 957, 729
The greatest common divisor of numbers 302, 100, 957, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 100, 957, 729 is 1.
1. What is the GCD of 302, 100, 957, 729?
GCD of given numbers 302, 100, 957, 729 is 1
2. How to calculate the greatest common divisor of 302, 100, 957, 729?
We can find the highest common divisor of 302, 100, 957, 729 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 302, 100, 957, 729 i.e 1.
3. How can I use the GCD of 302, 100, 957, 729Calculator?
Out the numbers 302, 100, 957, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.