Online GCD Calculator is useful to find the GCD of 696, 770, 658, 960 quickly. Get the easiest ways to solve the greatest common divisor of 696, 770, 658, 960 i.e 2 in different methods as follows.
Given Input numbers are 696, 770, 658, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (696, 770, 658, 960) = 2.
Given numbers are 696, 770, 658, 960
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 658 are 2 x 7 x 47
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 696, 770, 658, 960 is 2.
Given numbers are 696, 770, 658, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 770) = 267960
GCD(696, 770) = ( 696 x 770 ) / 267960
= 696 / 770
= 696
Step2:
LCM(2, 658) = 658
GCD(2, 658) = ( 2 x 658 ) / 658
= 2 / 658
= 2
Step3:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
So, Greatest Common Divisor of 696, 770, 658, 960 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 770, 658, 960
The greatest common divisor of numbers 696, 770, 658, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 770, 658, 960 is 2.
1. What is the GCD of 696, 770, 658, 960?
GCD of given numbers 696, 770, 658, 960 is 2
2. How to calculate the greatest common divisor of 696, 770, 658, 960?
We can find the highest common divisor of 696, 770, 658, 960 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 696, 770, 658, 960 i.e 2.
3. How can I use the GCD of 696, 770, 658, 960Calculator?
Out the numbers 696, 770, 658, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.