Online GCD Calculator is useful to find the GCD of 487, 972, 753, 149 quickly. Get the easiest ways to solve the greatest common divisor of 487, 972, 753, 149 i.e 1 in different methods as follows.
Given Input numbers are 487, 972, 753, 149
In the factoring method, we have to find the divisors of all numbers
Divisors of 487 :
The positive integer divisors of 487 that completely divides 487 are.
1, 487
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (487, 972, 753, 149) = 1.
Given numbers are 487, 972, 753, 149
The list of prime factors of all numbers are
Prime factors of 487 are 487
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 753 are 3 x 251
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 487, 972, 753, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(487, 972) = 473364
GCD(487, 972) = ( 487 x 972 ) / 473364
= 487 / 972
= 487
Step2:
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
= 1 / 753
= 1
Step3:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
So, Greatest Common Divisor of 487, 972, 753, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 487, 972, 753, 149
The greatest common divisor of numbers 487, 972, 753, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 487, 972, 753, 149 is 1.
1. What is the GCD of 487, 972, 753, 149?
GCD of given numbers 487, 972, 753, 149 is 1
2. How to calculate the greatest common divisor of 487, 972, 753, 149?
We can find the highest common divisor of 487, 972, 753, 149 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 487, 972, 753, 149 i.e 1.
3. How can I use the GCD of 487, 972, 753, 149Calculator?
Out the numbers 487, 972, 753, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.