Online GCD Calculator is useful to find the GCD of 972, 531, 810, 148 quickly. Get the easiest ways to solve the greatest common divisor of 972, 531, 810, 148 i.e 1 in different methods as follows.
Given Input numbers are 972, 531, 810, 148
In the factoring method, we have to find the divisors of all numbers
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 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (972, 531, 810, 148) = 1.
Given numbers are 972, 531, 810, 148
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 531 are 3 x 3 x 59
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 148 are 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 531, 810, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 531) = 57348
GCD(972, 531) = ( 972 x 531 ) / 57348
= 972 / 531
= 972
Step2:
LCM(9, 810) = 810
GCD(9, 810) = ( 9 x 810 ) / 810
= 9 / 810
= 9
Step3:
LCM(9, 148) = 1332
GCD(9, 148) = ( 9 x 148 ) / 1332
= 9 / 148
= 9
So, Greatest Common Divisor of 972, 531, 810, 148 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 531, 810, 148
The greatest common divisor of numbers 972, 531, 810, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 531, 810, 148 is 1.
1. What is the GCD of 972, 531, 810, 148?
GCD of given numbers 972, 531, 810, 148 is 1
2. How to calculate the greatest common divisor of 972, 531, 810, 148?
We can find the highest common divisor of 972, 531, 810, 148 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 972, 531, 810, 148 i.e 1.
3. How can I use the GCD of 972, 531, 810, 148Calculator?
Out the numbers 972, 531, 810, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.