Online GCD Calculator is useful to find the GCD of 702, 584, 772, 734 quickly. Get the easiest ways to solve the greatest common divisor of 702, 584, 772, 734 i.e 2 in different methods as follows.
Given Input numbers are 702, 584, 772, 734
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 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
GCD of numbers is the greatest common divisor
So, the GCD (702, 584, 772, 734) = 2.
Given numbers are 702, 584, 772, 734
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 584 are 2 x 2 x 2 x 73
Prime factors of 772 are 2 x 2 x 193
Prime factors of 734 are 2 x 367
The highest common occurrence is 21
Therefore, GCD of 702, 584, 772, 734 is 2.
Given numbers are 702, 584, 772, 734
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 584) = 204984
GCD(702, 584) = ( 702 x 584 ) / 204984
= 702 / 584
= 702
Step2:
LCM(2, 772) = 772
GCD(2, 772) = ( 2 x 772 ) / 772
= 2 / 772
= 2
Step3:
LCM(2, 734) = 734
GCD(2, 734) = ( 2 x 734 ) / 734
= 2 / 734
= 2
So, Greatest Common Divisor of 702, 584, 772, 734 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 584, 772, 734
The greatest common divisor of numbers 702, 584, 772, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 584, 772, 734 is 2.
1. What is the GCD of 702, 584, 772, 734?
GCD of given numbers 702, 584, 772, 734 is 2
2. How to calculate the greatest common divisor of 702, 584, 772, 734?
We can find the highest common divisor of 702, 584, 772, 734 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, 584, 772, 734 i.e 2.
3. How can I use the GCD of 702, 584, 772, 734Calculator?
Out the numbers 702, 584, 772, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.