Online GCD Calculator is useful to find the GCD of 268, 832, 720, 920 quickly. Get the easiest ways to solve the greatest common divisor of 268, 832, 720, 920 i.e 4 in different methods as follows.
Given Input numbers are 268, 832, 720, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
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 (268, 832, 720, 920) = 4.
Given numbers are 268, 832, 720, 920
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 22
Therefore, GCD of 268, 832, 720, 920 is 4.
Given numbers are 268, 832, 720, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 832) = 55744
GCD(268, 832) = ( 268 x 832 ) / 55744
= 268 / 832
= 268
Step2:
LCM(4, 720) = 720
GCD(4, 720) = ( 4 x 720 ) / 720
= 4 / 720
= 4
Step3:
LCM(4, 920) = 920
GCD(4, 920) = ( 4 x 920 ) / 920
= 4 / 920
= 4
So, Greatest Common Divisor of 268, 832, 720, 920 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 832, 720, 920
The greatest common divisor of numbers 268, 832, 720, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 832, 720, 920 is 4.
1. What is the GCD of 268, 832, 720, 920?
GCD of given numbers 268, 832, 720, 920 is 4
2. How to calculate the greatest common divisor of 268, 832, 720, 920?
We can find the highest common divisor of 268, 832, 720, 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 268, 832, 720, 920 i.e 4.
3. How can I use the GCD of 268, 832, 720, 920Calculator?
Out the numbers 268, 832, 720, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.