Online GCD Calculator is useful to find the GCD of 693, 378, 74, 746 quickly. Get the easiest ways to solve the greatest common divisor of 693, 378, 74, 746 i.e 1 in different methods as follows.
Given Input numbers are 693, 378, 74, 746
In the factoring method, we have to find the divisors of all numbers
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (693, 378, 74, 746) = 1.
Given numbers are 693, 378, 74, 746
The list of prime factors of all numbers are
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 74 are 2 x 37
Prime factors of 746 are 2 x 373
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 693, 378, 74, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(693, 378) = 4158
GCD(693, 378) = ( 693 x 378 ) / 4158
= 693 / 378
= 693
Step2:
LCM(63, 74) = 4662
GCD(63, 74) = ( 63 x 74 ) / 4662
= 63 / 74
= 63
Step3:
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
= 1 / 746
= 1
So, Greatest Common Divisor of 693, 378, 74, 746 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 693, 378, 74, 746
The greatest common divisor of numbers 693, 378, 74, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 378, 74, 746 is 1.
1. What is the GCD of 693, 378, 74, 746?
GCD of given numbers 693, 378, 74, 746 is 1
2. How to calculate the greatest common divisor of 693, 378, 74, 746?
We can find the highest common divisor of 693, 378, 74, 746 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 693, 378, 74, 746 i.e 1.
3. How can I use the GCD of 693, 378, 74, 746Calculator?
Out the numbers 693, 378, 74, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.