Online GCD Calculator is useful to find the GCD of 742, 493, 709, 890 quickly. Get the easiest ways to solve the greatest common divisor of 742, 493, 709, 890 i.e 1 in different methods as follows.
Given Input numbers are 742, 493, 709, 890
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 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
GCD of numbers is the greatest common divisor
So, the GCD (742, 493, 709, 890) = 1.
Given numbers are 742, 493, 709, 890
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 493 are 17 x 29
Prime factors of 709 are 709
Prime factors of 890 are 2 x 5 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 742, 493, 709, 890
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 493) = 365806
GCD(742, 493) = ( 742 x 493 ) / 365806
= 742 / 493
= 742
Step2:
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
= 1 / 709
= 1
Step3:
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
= 1 / 890
= 1
So, Greatest Common Divisor of 742, 493, 709, 890 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 493, 709, 890
The greatest common divisor of numbers 742, 493, 709, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 493, 709, 890 is 1.
1. What is the GCD of 742, 493, 709, 890?
GCD of given numbers 742, 493, 709, 890 is 1
2. How to calculate the greatest common divisor of 742, 493, 709, 890?
We can find the highest common divisor of 742, 493, 709, 890 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, 493, 709, 890 i.e 1.
3. How can I use the GCD of 742, 493, 709, 890Calculator?
Out the numbers 742, 493, 709, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.