Online GCD Calculator is useful to find the GCD of 742, 260, 834, 536 quickly. Get the easiest ways to solve the greatest common divisor of 742, 260, 834, 536 i.e 2 in different methods as follows.
Given Input numbers are 742, 260, 834, 536
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (742, 260, 834, 536) = 2.
Given numbers are 742, 260, 834, 536
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 834 are 2 x 3 x 139
Prime factors of 536 are 2 x 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 742, 260, 834, 536 is 2.
Given numbers are 742, 260, 834, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 260) = 96460
GCD(742, 260) = ( 742 x 260 ) / 96460
= 742 / 260
= 742
Step2:
LCM(2, 834) = 834
GCD(2, 834) = ( 2 x 834 ) / 834
= 2 / 834
= 2
Step3:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
So, Greatest Common Divisor of 742, 260, 834, 536 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 260, 834, 536
The greatest common divisor of numbers 742, 260, 834, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 260, 834, 536 is 2.
1. What is the GCD of 742, 260, 834, 536?
GCD of given numbers 742, 260, 834, 536 is 2
2. How to calculate the greatest common divisor of 742, 260, 834, 536?
We can find the highest common divisor of 742, 260, 834, 536 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 742, 260, 834, 536 i.e 2.
3. How can I use the GCD of 742, 260, 834, 536Calculator?
Out the numbers 742, 260, 834, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.