Online GCD Calculator is useful to find the GCD of 146, 447, 688, 900 quickly. Get the easiest ways to solve the greatest common divisor of 146, 447, 688, 900 i.e 1 in different methods as follows.
Given Input numbers are 146, 447, 688, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 447 :
The positive integer divisors of 447 that completely divides 447 are.
1, 3, 149, 447
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
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
GCD of numbers is the greatest common divisor
So, the GCD (146, 447, 688, 900) = 1.
Given numbers are 146, 447, 688, 900
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 447 are 3 x 149
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 146, 447, 688, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 447) = 65262
GCD(146, 447) = ( 146 x 447 ) / 65262
= 146 / 447
= 146
Step2:
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
= 1 / 688
= 1
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 146, 447, 688, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 447, 688, 900
The greatest common divisor of numbers 146, 447, 688, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 447, 688, 900 is 1.
1. What is the GCD of 146, 447, 688, 900?
GCD of given numbers 146, 447, 688, 900 is 1
2. How to calculate the greatest common divisor of 146, 447, 688, 900?
We can find the highest common divisor of 146, 447, 688, 900 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 146, 447, 688, 900 i.e 1.
3. How can I use the GCD of 146, 447, 688, 900Calculator?
Out the numbers 146, 447, 688, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.