Online GCD Calculator is useful to find the GCD of 900, 748, 948, 859 quickly. Get the easiest ways to solve the greatest common divisor of 900, 748, 948, 859 i.e 1 in different methods as follows.
Given Input numbers are 900, 748, 948, 859
In the factoring method, we have to find the divisors of all numbers
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 859 :
The positive integer divisors of 859 that completely divides 859 are.
1, 859
GCD of numbers is the greatest common divisor
So, the GCD (900, 748, 948, 859) = 1.
Given numbers are 900, 748, 948, 859
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 859 are 859
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 748, 948, 859
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 748) = 168300
GCD(900, 748) = ( 900 x 748 ) / 168300
= 900 / 748
= 900
Step2:
LCM(4, 948) = 948
GCD(4, 948) = ( 4 x 948 ) / 948
= 4 / 948
= 4
Step3:
LCM(4, 859) = 3436
GCD(4, 859) = ( 4 x 859 ) / 3436
= 4 / 859
= 4
So, Greatest Common Divisor of 900, 748, 948, 859 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 748, 948, 859
The greatest common divisor of numbers 900, 748, 948, 859 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 748, 948, 859 is 1.
1. What is the GCD of 900, 748, 948, 859?
GCD of given numbers 900, 748, 948, 859 is 1
2. How to calculate the greatest common divisor of 900, 748, 948, 859?
We can find the highest common divisor of 900, 748, 948, 859 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 900, 748, 948, 859 i.e 1.
3. How can I use the GCD of 900, 748, 948, 859Calculator?
Out the numbers 900, 748, 948, 859 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.