Online GCD Calculator is useful to find the GCD of 491, 707, 301, 998 quickly. Get the easiest ways to solve the greatest common divisor of 491, 707, 301, 998 i.e 1 in different methods as follows.
Given Input numbers are 491, 707, 301, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 491 :
The positive integer divisors of 491 that completely divides 491 are.
1, 491
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 301 :
The positive integer divisors of 301 that completely divides 301 are.
1, 7, 43, 301
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 (491, 707, 301, 998) = 1.
Given numbers are 491, 707, 301, 998
The list of prime factors of all numbers are
Prime factors of 491 are 491
Prime factors of 707 are 7 x 101
Prime factors of 301 are 7 x 43
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 491, 707, 301, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(491, 707) = 347137
GCD(491, 707) = ( 491 x 707 ) / 347137
= 491 / 707
= 491
Step2:
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
= 1 / 301
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 491, 707, 301, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 491, 707, 301, 998
The greatest common divisor of numbers 491, 707, 301, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 707, 301, 998 is 1.
1. What is the GCD of 491, 707, 301, 998?
GCD of given numbers 491, 707, 301, 998 is 1
2. How to calculate the greatest common divisor of 491, 707, 301, 998?
We can find the highest common divisor of 491, 707, 301, 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 491, 707, 301, 998 i.e 1.
3. How can I use the GCD of 491, 707, 301, 998Calculator?
Out the numbers 491, 707, 301, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.