Online GCD Calculator is useful to find the GCD of 702, 316, 776, 660 quickly. Get the easiest ways to solve the greatest common divisor of 702, 316, 776, 660 i.e 2 in different methods as follows.
Given Input numbers are 702, 316, 776, 660
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 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (702, 316, 776, 660) = 2.
Given numbers are 702, 316, 776, 660
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 316 are 2 x 2 x 79
Prime factors of 776 are 2 x 2 x 2 x 97
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 702, 316, 776, 660 is 2.
Given numbers are 702, 316, 776, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 316) = 110916
GCD(702, 316) = ( 702 x 316 ) / 110916
= 702 / 316
= 702
Step2:
LCM(2, 776) = 776
GCD(2, 776) = ( 2 x 776 ) / 776
= 2 / 776
= 2
Step3:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
So, Greatest Common Divisor of 702, 316, 776, 660 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 316, 776, 660
The greatest common divisor of numbers 702, 316, 776, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 316, 776, 660 is 2.
1. What is the GCD of 702, 316, 776, 660?
GCD of given numbers 702, 316, 776, 660 is 2
2. How to calculate the greatest common divisor of 702, 316, 776, 660?
We can find the highest common divisor of 702, 316, 776, 660 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, 316, 776, 660 i.e 2.
3. How can I use the GCD of 702, 316, 776, 660Calculator?
Out the numbers 702, 316, 776, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.