Online GCD Calculator is useful to find the GCD of 920, 724, 530, 960 quickly. Get the easiest ways to solve the greatest common divisor of 920, 724, 530, 960 i.e 2 in different methods as follows.
Given Input numbers are 920, 724, 530, 960
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
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 (920, 724, 530, 960) = 2.
Given numbers are 920, 724, 530, 960
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 724 are 2 x 2 x 181
Prime factors of 530 are 2 x 5 x 53
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 920, 724, 530, 960 is 2.
Given numbers are 920, 724, 530, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 724) = 166520
GCD(920, 724) = ( 920 x 724 ) / 166520
= 920 / 724
= 920
Step2:
LCM(4, 530) = 1060
GCD(4, 530) = ( 4 x 530 ) / 1060
= 4 / 530
= 4
Step3:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
So, Greatest Common Divisor of 920, 724, 530, 960 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 724, 530, 960
The greatest common divisor of numbers 920, 724, 530, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 724, 530, 960 is 2.
1. What is the GCD of 920, 724, 530, 960?
GCD of given numbers 920, 724, 530, 960 is 2
2. How to calculate the greatest common divisor of 920, 724, 530, 960?
We can find the highest common divisor of 920, 724, 530, 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 920, 724, 530, 960 i.e 2.
3. How can I use the GCD of 920, 724, 530, 960Calculator?
Out the numbers 920, 724, 530, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.