Online GCD Calculator is useful to find the GCD of 702, 752, 174, 678 quickly. Get the easiest ways to solve the greatest common divisor of 702, 752, 174, 678 i.e 2 in different methods as follows.
Given Input numbers are 702, 752, 174, 678
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 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (702, 752, 174, 678) = 2.
Given numbers are 702, 752, 174, 678
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 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 174 are 2 x 3 x 29
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 702, 752, 174, 678 is 2.
Given numbers are 702, 752, 174, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 752) = 263952
GCD(702, 752) = ( 702 x 752 ) / 263952
= 702 / 752
= 702
Step2:
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
= 2 / 174
= 2
Step3:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
So, Greatest Common Divisor of 702, 752, 174, 678 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 752, 174, 678
The greatest common divisor of numbers 702, 752, 174, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 752, 174, 678 is 2.
1. What is the GCD of 702, 752, 174, 678?
GCD of given numbers 702, 752, 174, 678 is 2
2. How to calculate the greatest common divisor of 702, 752, 174, 678?
We can find the highest common divisor of 702, 752, 174, 678 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, 752, 174, 678 i.e 2.
3. How can I use the GCD of 702, 752, 174, 678Calculator?
Out the numbers 702, 752, 174, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.