Online GCD Calculator is useful to find the GCD of 760, 530, 744, 442 quickly. Get the easiest ways to solve the greatest common divisor of 760, 530, 744, 442 i.e 2 in different methods as follows.
Given Input numbers are 760, 530, 744, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (760, 530, 744, 442) = 2.
Given numbers are 760, 530, 744, 442
The list of prime factors of all numbers are
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 530 are 2 x 5 x 53
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 760, 530, 744, 442 is 2.
Given numbers are 760, 530, 744, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 530) = 40280
GCD(760, 530) = ( 760 x 530 ) / 40280
= 760 / 530
= 760
Step2:
LCM(10, 744) = 3720
GCD(10, 744) = ( 10 x 744 ) / 3720
= 10 / 744
= 10
Step3:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
So, Greatest Common Divisor of 760, 530, 744, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 530, 744, 442
The greatest common divisor of numbers 760, 530, 744, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 530, 744, 442 is 2.
1. What is the GCD of 760, 530, 744, 442?
GCD of given numbers 760, 530, 744, 442 is 2
2. How to calculate the greatest common divisor of 760, 530, 744, 442?
We can find the highest common divisor of 760, 530, 744, 442 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 760, 530, 744, 442 i.e 2.
3. How can I use the GCD of 760, 530, 744, 442Calculator?
Out the numbers 760, 530, 744, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.