Online GCD Calculator is useful to find the GCD of 550, 137, 21 quickly. Get the easiest ways to solve the greatest common divisor of 550, 137, 21 i.e 1 in different methods as follows.
Given Input numbers are 550, 137, 21
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 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
GCD of numbers is the greatest common divisor
So, the GCD (550, 137, 21) = 1.
Given numbers are 550, 137, 21
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 137 are 137
Prime factors of 21 are 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 550, 137, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 137) = 75350
GCD(550, 137) = ( 550 x 137 ) / 75350
= 550 / 137
= 550
Step2:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
So, Greatest Common Divisor of 550, 137, 21 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 137, 21
The greatest common divisor of numbers 550, 137, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 137, 21 is 1.
1. What is the GCD of 550, 137, 21?
GCD of given numbers 550, 137, 21 is 1
2. How to calculate the greatest common divisor of 550, 137, 21?
We can find the highest common divisor of 550, 137, 21 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, 137, 21 i.e 1.
3. How can I use the GCD of 550, 137, 21Calculator?
Out the numbers 550, 137, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.