Online GCD Calculator is useful to find the GCD of 775, 271, 980, 822 quickly. Get the easiest ways to solve the greatest common divisor of 775, 271, 980, 822 i.e 1 in different methods as follows.
Given Input numbers are 775, 271, 980, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (775, 271, 980, 822) = 1.
Given numbers are 775, 271, 980, 822
The list of prime factors of all numbers are
Prime factors of 775 are 5 x 5 x 31
Prime factors of 271 are 271
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 822 are 2 x 3 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 775, 271, 980, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(775, 271) = 210025
GCD(775, 271) = ( 775 x 271 ) / 210025
= 775 / 271
= 775
Step2:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
Step3:
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
= 1 / 822
= 1
So, Greatest Common Divisor of 775, 271, 980, 822 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 775, 271, 980, 822
The greatest common divisor of numbers 775, 271, 980, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 775, 271, 980, 822 is 1.
1. What is the GCD of 775, 271, 980, 822?
GCD of given numbers 775, 271, 980, 822 is 1
2. How to calculate the greatest common divisor of 775, 271, 980, 822?
We can find the highest common divisor of 775, 271, 980, 822 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 775, 271, 980, 822 i.e 1.
3. How can I use the GCD of 775, 271, 980, 822Calculator?
Out the numbers 775, 271, 980, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.