Online GCD Calculator is useful to find the GCD of 702, 598, 705, 978 quickly. Get the easiest ways to solve the greatest common divisor of 702, 598, 705, 978 i.e 1 in different methods as follows.
Given Input numbers are 702, 598, 705, 978
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
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 (702, 598, 705, 978) = 1.
Given numbers are 702, 598, 705, 978
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 598 are 2 x 13 x 23
Prime factors of 705 are 3 x 5 x 47
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 702, 598, 705, 978
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 598) = 16146
GCD(702, 598) = ( 702 x 598 ) / 16146
= 702 / 598
= 702
Step2:
LCM(26, 705) = 18330
GCD(26, 705) = ( 26 x 705 ) / 18330
= 26 / 705
= 26
Step3:
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
= 1 / 978
= 1
So, Greatest Common Divisor of 702, 598, 705, 978 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 598, 705, 978
The greatest common divisor of numbers 702, 598, 705, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 598, 705, 978 is 1.
1. What is the GCD of 702, 598, 705, 978?
GCD of given numbers 702, 598, 705, 978 is 1
2. How to calculate the greatest common divisor of 702, 598, 705, 978?
We can find the highest common divisor of 702, 598, 705, 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 702, 598, 705, 978 i.e 1.
3. How can I use the GCD of 702, 598, 705, 978Calculator?
Out the numbers 702, 598, 705, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.