Online GCD Calculator is useful to find the GCD of 708, 825, 900, 160 quickly. Get the easiest ways to solve the greatest common divisor of 708, 825, 900, 160 i.e 1 in different methods as follows.
Given Input numbers are 708, 825, 900, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
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 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (708, 825, 900, 160) = 1.
Given numbers are 708, 825, 900, 160
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 708, 825, 900, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 825) = 194700
GCD(708, 825) = ( 708 x 825 ) / 194700
= 708 / 825
= 708
Step2:
LCM(3, 900) = 900
GCD(3, 900) = ( 3 x 900 ) / 900
= 3 / 900
= 3
Step3:
LCM(3, 160) = 480
GCD(3, 160) = ( 3 x 160 ) / 480
= 3 / 160
= 3
So, Greatest Common Divisor of 708, 825, 900, 160 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 825, 900, 160
The greatest common divisor of numbers 708, 825, 900, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 825, 900, 160 is 1.
1. What is the GCD of 708, 825, 900, 160?
GCD of given numbers 708, 825, 900, 160 is 1
2. How to calculate the greatest common divisor of 708, 825, 900, 160?
We can find the highest common divisor of 708, 825, 900, 160 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 708, 825, 900, 160 i.e 1.
3. How can I use the GCD of 708, 825, 900, 160Calculator?
Out the numbers 708, 825, 900, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.