Online GCD Calculator is useful to find the GCD of 917, 742, 462, 798 quickly. Get the easiest ways to solve the greatest common divisor of 917, 742, 462, 798 i.e 7 in different methods as follows.
Given Input numbers are 917, 742, 462, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
GCD of numbers is the greatest common divisor
So, the GCD (917, 742, 462, 798) = 7.
Given numbers are 917, 742, 462, 798
The list of prime factors of all numbers are
Prime factors of 917 are 7 x 131
Prime factors of 742 are 2 x 7 x 53
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 71
Therefore, GCD of 917, 742, 462, 798 is 7.
Given numbers are 917, 742, 462, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(917, 742) = 97202
GCD(917, 742) = ( 917 x 742 ) / 97202
= 917 / 742
= 917
Step2:
LCM(7, 462) = 462
GCD(7, 462) = ( 7 x 462 ) / 462
= 7 / 462
= 7
Step3:
LCM(7, 798) = 798
GCD(7, 798) = ( 7 x 798 ) / 798
= 7 / 798
= 7
So, Greatest Common Divisor of 917, 742, 462, 798 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 917, 742, 462, 798
The greatest common divisor of numbers 917, 742, 462, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 742, 462, 798 is 7.
1. What is the GCD of 917, 742, 462, 798?
GCD of given numbers 917, 742, 462, 798 is 7
2. How to calculate the greatest common divisor of 917, 742, 462, 798?
We can find the highest common divisor of 917, 742, 462, 798 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 917, 742, 462, 798 i.e 7.
3. How can I use the GCD of 917, 742, 462, 798Calculator?
Out the numbers 917, 742, 462, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.