Online GCD Calculator is useful to find the GCD of 550, 825, 987, 760 quickly. Get the easiest ways to solve the greatest common divisor of 550, 825, 987, 760 i.e 1 in different methods as follows.
Given Input numbers are 550, 825, 987, 760
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (550, 825, 987, 760) = 1.
Given numbers are 550, 825, 987, 760
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 987 are 3 x 7 x 47
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 550, 825, 987, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 825) = 1650
GCD(550, 825) = ( 550 x 825 ) / 1650
= 550 / 825
= 550
Step2:
LCM(275, 987) = 271425
GCD(275, 987) = ( 275 x 987 ) / 271425
= 275 / 987
= 275
Step3:
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
= 1 / 760
= 1
So, Greatest Common Divisor of 550, 825, 987, 760 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 825, 987, 760
The greatest common divisor of numbers 550, 825, 987, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 825, 987, 760 is 1.
1. What is the GCD of 550, 825, 987, 760?
GCD of given numbers 550, 825, 987, 760 is 1
2. How to calculate the greatest common divisor of 550, 825, 987, 760?
We can find the highest common divisor of 550, 825, 987, 760 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, 825, 987, 760 i.e 1.
3. How can I use the GCD of 550, 825, 987, 760Calculator?
Out the numbers 550, 825, 987, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.