Online GCD Calculator is useful to find the GCD of 693, 342, 970, 978 quickly. Get the easiest ways to solve the greatest common divisor of 693, 342, 970, 978 i.e 1 in different methods as follows.
Given Input numbers are 693, 342, 970, 978
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
GCD of numbers is the greatest common divisor
So, the GCD (693, 342, 970, 978) = 1.
Given numbers are 693, 342, 970, 978
The list of prime factors of all numbers are
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 970 are 2 x 5 x 97
Prime factors of 978 are 2 x 3 x 163
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 693, 342, 970, 978
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(693, 342) = 26334
GCD(693, 342) = ( 693 x 342 ) / 26334
= 693 / 342
= 693
Step2:
LCM(9, 970) = 8730
GCD(9, 970) = ( 9 x 970 ) / 8730
= 9 / 970
= 9
Step3:
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
= 1 / 978
= 1
So, Greatest Common Divisor of 693, 342, 970, 978 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 693, 342, 970, 978
The greatest common divisor of numbers 693, 342, 970, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 342, 970, 978 is 1.
1. What is the GCD of 693, 342, 970, 978?
GCD of given numbers 693, 342, 970, 978 is 1
2. How to calculate the greatest common divisor of 693, 342, 970, 978?
We can find the highest common divisor of 693, 342, 970, 978 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, 342, 970, 978 i.e 1.
3. How can I use the GCD of 693, 342, 970, 978Calculator?
Out the numbers 693, 342, 970, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.