Online GCD Calculator is useful to find the GCD of 768, 442, 264, 920 quickly. Get the easiest ways to solve the greatest common divisor of 768, 442, 264, 920 i.e 2 in different methods as follows.
Given Input numbers are 768, 442, 264, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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 (768, 442, 264, 920) = 2.
Given numbers are 768, 442, 264, 920
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 442 are 2 x 13 x 17
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 768, 442, 264, 920 is 2.
Given numbers are 768, 442, 264, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 442) = 169728
GCD(768, 442) = ( 768 x 442 ) / 169728
= 768 / 442
= 768
Step2:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
Step3:
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
= 2 / 920
= 2
So, Greatest Common Divisor of 768, 442, 264, 920 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 442, 264, 920
The greatest common divisor of numbers 768, 442, 264, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 442, 264, 920 is 2.
1. What is the GCD of 768, 442, 264, 920?
GCD of given numbers 768, 442, 264, 920 is 2
2. How to calculate the greatest common divisor of 768, 442, 264, 920?
We can find the highest common divisor of 768, 442, 264, 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 768, 442, 264, 920 i.e 2.
3. How can I use the GCD of 768, 442, 264, 920Calculator?
Out the numbers 768, 442, 264, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.