Online GCD Calculator is useful to find the GCD of 196, 693, 742, 928 quickly. Get the easiest ways to solve the greatest common divisor of 196, 693, 742, 928 i.e 1 in different methods as follows.
Given Input numbers are 196, 693, 742, 928
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
GCD of numbers is the greatest common divisor
So, the GCD (196, 693, 742, 928) = 1.
Given numbers are 196, 693, 742, 928
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 742 are 2 x 7 x 53
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 196, 693, 742, 928
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 693) = 19404
GCD(196, 693) = ( 196 x 693 ) / 19404
= 196 / 693
= 196
Step2:
LCM(7, 742) = 742
GCD(7, 742) = ( 7 x 742 ) / 742
= 7 / 742
= 7
Step3:
LCM(7, 928) = 6496
GCD(7, 928) = ( 7 x 928 ) / 6496
= 7 / 928
= 7
So, Greatest Common Divisor of 196, 693, 742, 928 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 693, 742, 928
The greatest common divisor of numbers 196, 693, 742, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 693, 742, 928 is 1.
1. What is the GCD of 196, 693, 742, 928?
GCD of given numbers 196, 693, 742, 928 is 1
2. How to calculate the greatest common divisor of 196, 693, 742, 928?
We can find the highest common divisor of 196, 693, 742, 928 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 196, 693, 742, 928 i.e 1.
3. How can I use the GCD of 196, 693, 742, 928Calculator?
Out the numbers 196, 693, 742, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.