Online GCD Calculator is useful to find the GCD of 900, 716, 899, 735 quickly. Get the easiest ways to solve the greatest common divisor of 900, 716, 899, 735 i.e 1 in different methods as follows.
Given Input numbers are 900, 716, 899, 735
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 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 899 :
The positive integer divisors of 899 that completely divides 899 are.
1, 29, 31, 899
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (900, 716, 899, 735) = 1.
Given numbers are 900, 716, 899, 735
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 716 are 2 x 2 x 179
Prime factors of 899 are 29 x 31
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 716, 899, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 716) = 161100
GCD(900, 716) = ( 900 x 716 ) / 161100
= 900 / 716
= 900
Step2:
LCM(4, 899) = 3596
GCD(4, 899) = ( 4 x 899 ) / 3596
= 4 / 899
= 4
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 900, 716, 899, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 716, 899, 735
The greatest common divisor of numbers 900, 716, 899, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 716, 899, 735 is 1.
1. What is the GCD of 900, 716, 899, 735?
GCD of given numbers 900, 716, 899, 735 is 1
2. How to calculate the greatest common divisor of 900, 716, 899, 735?
We can find the highest common divisor of 900, 716, 899, 735 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, 716, 899, 735 i.e 1.
3. How can I use the GCD of 900, 716, 899, 735Calculator?
Out the numbers 900, 716, 899, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.