Online GCD Calculator is useful to find the GCD of 998, 208, 157, 829 quickly. Get the easiest ways to solve the greatest common divisor of 998, 208, 157, 829 i.e 1 in different methods as follows.
Given Input numbers are 998, 208, 157, 829
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
GCD of numbers is the greatest common divisor
So, the GCD (998, 208, 157, 829) = 1.
Given numbers are 998, 208, 157, 829
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 157 are 157
Prime factors of 829 are 829
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 208, 157, 829
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 208) = 103792
GCD(998, 208) = ( 998 x 208 ) / 103792
= 998 / 208
= 998
Step2:
LCM(2, 157) = 314
GCD(2, 157) = ( 2 x 157 ) / 314
= 2 / 157
= 2
Step3:
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
= 1 / 829
= 1
So, Greatest Common Divisor of 998, 208, 157, 829 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 208, 157, 829
The greatest common divisor of numbers 998, 208, 157, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 208, 157, 829 is 1.
1. What is the GCD of 998, 208, 157, 829?
GCD of given numbers 998, 208, 157, 829 is 1
2. How to calculate the greatest common divisor of 998, 208, 157, 829?
We can find the highest common divisor of 998, 208, 157, 829 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 998, 208, 157, 829 i.e 1.
3. How can I use the GCD of 998, 208, 157, 829Calculator?
Out the numbers 998, 208, 157, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.