Online GCD Calculator is useful to find the GCD of 682, 764, 442, 920 quickly. Get the easiest ways to solve the greatest common divisor of 682, 764, 442, 920 i.e 2 in different methods as follows.
Given Input numbers are 682, 764, 442, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (682, 764, 442, 920) = 2.
Given numbers are 682, 764, 442, 920
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 764 are 2 x 2 x 191
Prime factors of 442 are 2 x 13 x 17
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 682, 764, 442, 920 is 2.
Given numbers are 682, 764, 442, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 764) = 260524
GCD(682, 764) = ( 682 x 764 ) / 260524
= 682 / 764
= 682
Step2:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
Step3:
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
= 2 / 920
= 2
So, Greatest Common Divisor of 682, 764, 442, 920 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 764, 442, 920
The greatest common divisor of numbers 682, 764, 442, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 764, 442, 920 is 2.
1. What is the GCD of 682, 764, 442, 920?
GCD of given numbers 682, 764, 442, 920 is 2
2. How to calculate the greatest common divisor of 682, 764, 442, 920?
We can find the highest common divisor of 682, 764, 442, 920 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 682, 764, 442, 920 i.e 2.
3. How can I use the GCD of 682, 764, 442, 920Calculator?
Out the numbers 682, 764, 442, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.