Online GCD Calculator is useful to find the GCD of 500, 275, 355, 972 quickly. Get the easiest ways to solve the greatest common divisor of 500, 275, 355, 972 i.e 1 in different methods as follows.
Given Input numbers are 500, 275, 355, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
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
GCD of numbers is the greatest common divisor
So, the GCD (500, 275, 355, 972) = 1.
Given numbers are 500, 275, 355, 972
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 275 are 5 x 5 x 11
Prime factors of 355 are 5 x 71
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 275, 355, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 275) = 5500
GCD(500, 275) = ( 500 x 275 ) / 5500
= 500 / 275
= 500
Step2:
LCM(25, 355) = 1775
GCD(25, 355) = ( 25 x 355 ) / 1775
= 25 / 355
= 25
Step3:
LCM(5, 972) = 4860
GCD(5, 972) = ( 5 x 972 ) / 4860
= 5 / 972
= 5
So, Greatest Common Divisor of 500, 275, 355, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 275, 355, 972
The greatest common divisor of numbers 500, 275, 355, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 275, 355, 972 is 1.
1. What is the GCD of 500, 275, 355, 972?
GCD of given numbers 500, 275, 355, 972 is 1
2. How to calculate the greatest common divisor of 500, 275, 355, 972?
We can find the highest common divisor of 500, 275, 355, 972 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 500, 275, 355, 972 i.e 1.
3. How can I use the GCD of 500, 275, 355, 972Calculator?
Out the numbers 500, 275, 355, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.