Online GCD Calculator is useful to find the GCD of 972, 538, 521, 273 quickly. Get the easiest ways to solve the greatest common divisor of 972, 538, 521, 273 i.e 1 in different methods as follows.
Given Input numbers are 972, 538, 521, 273
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 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 521 :
The positive integer divisors of 521 that completely divides 521 are.
1, 521
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
GCD of numbers is the greatest common divisor
So, the GCD (972, 538, 521, 273) = 1.
Given numbers are 972, 538, 521, 273
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 538 are 2 x 269
Prime factors of 521 are 521
Prime factors of 273 are 3 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 538, 521, 273
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 538) = 261468
GCD(972, 538) = ( 972 x 538 ) / 261468
= 972 / 538
= 972
Step2:
LCM(2, 521) = 1042
GCD(2, 521) = ( 2 x 521 ) / 1042
= 2 / 521
= 2
Step3:
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
= 1 / 273
= 1
So, Greatest Common Divisor of 972, 538, 521, 273 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 538, 521, 273
The greatest common divisor of numbers 972, 538, 521, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 538, 521, 273 is 1.
1. What is the GCD of 972, 538, 521, 273?
GCD of given numbers 972, 538, 521, 273 is 1
2. How to calculate the greatest common divisor of 972, 538, 521, 273?
We can find the highest common divisor of 972, 538, 521, 273 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, 538, 521, 273 i.e 1.
3. How can I use the GCD of 972, 538, 521, 273Calculator?
Out the numbers 972, 538, 521, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.