Online GCD Calculator is useful to find the GCD of 550, 608, 43, 972 quickly. Get the easiest ways to solve the greatest common divisor of 550, 608, 43, 972 i.e 1 in different methods as follows.
Given Input numbers are 550, 608, 43, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 43 :
The positive integer divisors of 43 that completely divides 43 are.
1, 43
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 (550, 608, 43, 972) = 1.
Given numbers are 550, 608, 43, 972
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 43 are 43
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 550, 608, 43, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 608) = 167200
GCD(550, 608) = ( 550 x 608 ) / 167200
= 550 / 608
= 550
Step2:
LCM(2, 43) = 86
GCD(2, 43) = ( 2 x 43 ) / 86
= 2 / 43
= 2
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 550, 608, 43, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 608, 43, 972
The greatest common divisor of numbers 550, 608, 43, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 608, 43, 972 is 1.
1. What is the GCD of 550, 608, 43, 972?
GCD of given numbers 550, 608, 43, 972 is 1
2. How to calculate the greatest common divisor of 550, 608, 43, 972?
We can find the highest common divisor of 550, 608, 43, 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 550, 608, 43, 972 i.e 1.
3. How can I use the GCD of 550, 608, 43, 972Calculator?
Out the numbers 550, 608, 43, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.