Online GCD Calculator is useful to find the GCD of 900, 755, 532, 311 quickly. Get the easiest ways to solve the greatest common divisor of 900, 755, 532, 311 i.e 1 in different methods as follows.
Given Input numbers are 900, 755, 532, 311
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 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
GCD of numbers is the greatest common divisor
So, the GCD (900, 755, 532, 311) = 1.
Given numbers are 900, 755, 532, 311
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 755 are 5 x 151
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 311 are 311
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 755, 532, 311
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 755) = 135900
GCD(900, 755) = ( 900 x 755 ) / 135900
= 900 / 755
= 900
Step2:
LCM(5, 532) = 2660
GCD(5, 532) = ( 5 x 532 ) / 2660
= 5 / 532
= 5
Step3:
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
= 1 / 311
= 1
So, Greatest Common Divisor of 900, 755, 532, 311 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 755, 532, 311
The greatest common divisor of numbers 900, 755, 532, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 755, 532, 311 is 1.
1. What is the GCD of 900, 755, 532, 311?
GCD of given numbers 900, 755, 532, 311 is 1
2. How to calculate the greatest common divisor of 900, 755, 532, 311?
We can find the highest common divisor of 900, 755, 532, 311 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, 755, 532, 311 i.e 1.
3. How can I use the GCD of 900, 755, 532, 311Calculator?
Out the numbers 900, 755, 532, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.