Online GCD Calculator is useful to find the GCD of 115, 900, 820, 157 quickly. Get the easiest ways to solve the greatest common divisor of 115, 900, 820, 157 i.e 1 in different methods as follows.
Given Input numbers are 115, 900, 820, 157
In the factoring method, we have to find the divisors of all numbers
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
GCD of numbers is the greatest common divisor
So, the GCD (115, 900, 820, 157) = 1.
Given numbers are 115, 900, 820, 157
The list of prime factors of all numbers are
Prime factors of 115 are 5 x 23
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 157 are 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 115, 900, 820, 157
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(115, 900) = 20700
GCD(115, 900) = ( 115 x 900 ) / 20700
= 115 / 900
= 115
Step2:
LCM(5, 820) = 820
GCD(5, 820) = ( 5 x 820 ) / 820
= 5 / 820
= 5
Step3:
LCM(5, 157) = 785
GCD(5, 157) = ( 5 x 157 ) / 785
= 5 / 157
= 5
So, Greatest Common Divisor of 115, 900, 820, 157 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 115, 900, 820, 157
The greatest common divisor of numbers 115, 900, 820, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 115, 900, 820, 157 is 1.
1. What is the GCD of 115, 900, 820, 157?
GCD of given numbers 115, 900, 820, 157 is 1
2. How to calculate the greatest common divisor of 115, 900, 820, 157?
We can find the highest common divisor of 115, 900, 820, 157 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 115, 900, 820, 157 i.e 1.
3. How can I use the GCD of 115, 900, 820, 157Calculator?
Out the numbers 115, 900, 820, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.