Online GCD Calculator is useful to find the GCD of 690, 702, 321, 738 quickly. Get the easiest ways to solve the greatest common divisor of 690, 702, 321, 738 i.e 3 in different methods as follows.
Given Input numbers are 690, 702, 321, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
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 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (690, 702, 321, 738) = 3.
Given numbers are 690, 702, 321, 738
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 321 are 3 x 107
Prime factors of 738 are 2 x 3 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 690, 702, 321, 738 is 3.
Given numbers are 690, 702, 321, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 702) = 80730
GCD(690, 702) = ( 690 x 702 ) / 80730
= 690 / 702
= 690
Step2:
LCM(6, 321) = 642
GCD(6, 321) = ( 6 x 321 ) / 642
= 6 / 321
= 6
Step3:
LCM(3, 738) = 738
GCD(3, 738) = ( 3 x 738 ) / 738
= 3 / 738
= 3
So, Greatest Common Divisor of 690, 702, 321, 738 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 702, 321, 738
The greatest common divisor of numbers 690, 702, 321, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 702, 321, 738 is 3.
1. What is the GCD of 690, 702, 321, 738?
GCD of given numbers 690, 702, 321, 738 is 3
2. How to calculate the greatest common divisor of 690, 702, 321, 738?
We can find the highest common divisor of 690, 702, 321, 738 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 690, 702, 321, 738 i.e 3.
3. How can I use the GCD of 690, 702, 321, 738Calculator?
Out the numbers 690, 702, 321, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.