Online GCD Calculator is useful to find the GCD of 497, 748, 986, 968 quickly. Get the easiest ways to solve the greatest common divisor of 497, 748, 986, 968 i.e 1 in different methods as follows.
Given Input numbers are 497, 748, 986, 968
In the factoring method, we have to find the divisors of all numbers
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
GCD of numbers is the greatest common divisor
So, the GCD (497, 748, 986, 968) = 1.
Given numbers are 497, 748, 986, 968
The list of prime factors of all numbers are
Prime factors of 497 are 7 x 71
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 986 are 2 x 17 x 29
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 497, 748, 986, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(497, 748) = 371756
GCD(497, 748) = ( 497 x 748 ) / 371756
= 497 / 748
= 497
Step2:
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
= 1 / 986
= 1
Step3:
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
= 1 / 968
= 1
So, Greatest Common Divisor of 497, 748, 986, 968 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 497, 748, 986, 968
The greatest common divisor of numbers 497, 748, 986, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 748, 986, 968 is 1.
1. What is the GCD of 497, 748, 986, 968?
GCD of given numbers 497, 748, 986, 968 is 1
2. How to calculate the greatest common divisor of 497, 748, 986, 968?
We can find the highest common divisor of 497, 748, 986, 968 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 497, 748, 986, 968 i.e 1.
3. How can I use the GCD of 497, 748, 986, 968Calculator?
Out the numbers 497, 748, 986, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.