Online GCD Calculator is useful to find the GCD of 900, 172, 987, 136 quickly. Get the easiest ways to solve the greatest common divisor of 900, 172, 987, 136 i.e 1 in different methods as follows.
Given Input numbers are 900, 172, 987, 136
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
GCD of numbers is the greatest common divisor
So, the GCD (900, 172, 987, 136) = 1.
Given numbers are 900, 172, 987, 136
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 172 are 2 x 2 x 43
Prime factors of 987 are 3 x 7 x 47
Prime factors of 136 are 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 172, 987, 136
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 172) = 38700
GCD(900, 172) = ( 900 x 172 ) / 38700
= 900 / 172
= 900
Step2:
LCM(4, 987) = 3948
GCD(4, 987) = ( 4 x 987 ) / 3948
= 4 / 987
= 4
Step3:
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
= 1 / 136
= 1
So, Greatest Common Divisor of 900, 172, 987, 136 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 172, 987, 136
The greatest common divisor of numbers 900, 172, 987, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 172, 987, 136 is 1.
1. What is the GCD of 900, 172, 987, 136?
GCD of given numbers 900, 172, 987, 136 is 1
2. How to calculate the greatest common divisor of 900, 172, 987, 136?
We can find the highest common divisor of 900, 172, 987, 136 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, 172, 987, 136 i.e 1.
3. How can I use the GCD of 900, 172, 987, 136Calculator?
Out the numbers 900, 172, 987, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.