Online GCD Calculator is useful to find the GCD of 355, 822, 770, 998 quickly. Get the easiest ways to solve the greatest common divisor of 355, 822, 770, 998 i.e 1 in different methods as follows.
Given Input numbers are 355, 822, 770, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (355, 822, 770, 998) = 1.
Given numbers are 355, 822, 770, 998
The list of prime factors of all numbers are
Prime factors of 355 are 5 x 71
Prime factors of 822 are 2 x 3 x 137
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 355, 822, 770, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(355, 822) = 291810
GCD(355, 822) = ( 355 x 822 ) / 291810
= 355 / 822
= 355
Step2:
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
= 1 / 770
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 355, 822, 770, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 355, 822, 770, 998
The greatest common divisor of numbers 355, 822, 770, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 822, 770, 998 is 1.
1. What is the GCD of 355, 822, 770, 998?
GCD of given numbers 355, 822, 770, 998 is 1
2. How to calculate the greatest common divisor of 355, 822, 770, 998?
We can find the highest common divisor of 355, 822, 770, 998 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 355, 822, 770, 998 i.e 1.
3. How can I use the GCD of 355, 822, 770, 998Calculator?
Out the numbers 355, 822, 770, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.