Online GCD Calculator is useful to find the GCD of 382, 772, 701, 998 quickly. Get the easiest ways to solve the greatest common divisor of 382, 772, 701, 998 i.e 1 in different methods as follows.
Given Input numbers are 382, 772, 701, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 701 :
The positive integer divisors of 701 that completely divides 701 are.
1, 701
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 (382, 772, 701, 998) = 1.
Given numbers are 382, 772, 701, 998
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 772 are 2 x 2 x 193
Prime factors of 701 are 701
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 382, 772, 701, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 772) = 147452
GCD(382, 772) = ( 382 x 772 ) / 147452
= 382 / 772
= 382
Step2:
LCM(2, 701) = 1402
GCD(2, 701) = ( 2 x 701 ) / 1402
= 2 / 701
= 2
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 382, 772, 701, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 772, 701, 998
The greatest common divisor of numbers 382, 772, 701, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 772, 701, 998 is 1.
1. What is the GCD of 382, 772, 701, 998?
GCD of given numbers 382, 772, 701, 998 is 1
2. How to calculate the greatest common divisor of 382, 772, 701, 998?
We can find the highest common divisor of 382, 772, 701, 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 382, 772, 701, 998 i.e 1.
3. How can I use the GCD of 382, 772, 701, 998Calculator?
Out the numbers 382, 772, 701, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.