Online GCD Calculator is useful to find the GCD of 748, 710, 20, 283 quickly. Get the easiest ways to solve the greatest common divisor of 748, 710, 20, 283 i.e 1 in different methods as follows.
Given Input numbers are 748, 710, 20, 283
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
Divisors of 283 :
The positive integer divisors of 283 that completely divides 283 are.
1, 283
GCD of numbers is the greatest common divisor
So, the GCD (748, 710, 20, 283) = 1.
Given numbers are 748, 710, 20, 283
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 710 are 2 x 5 x 71
Prime factors of 20 are 2 x 2 x 5
Prime factors of 283 are 283
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 710, 20, 283
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 710) = 265540
GCD(748, 710) = ( 748 x 710 ) / 265540
= 748 / 710
= 748
Step2:
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
= 2 / 20
= 2
Step3:
LCM(2, 283) = 566
GCD(2, 283) = ( 2 x 283 ) / 566
= 2 / 283
= 2
So, Greatest Common Divisor of 748, 710, 20, 283 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 710, 20, 283
The greatest common divisor of numbers 748, 710, 20, 283 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 710, 20, 283 is 1.
1. What is the GCD of 748, 710, 20, 283?
GCD of given numbers 748, 710, 20, 283 is 1
2. How to calculate the greatest common divisor of 748, 710, 20, 283?
We can find the highest common divisor of 748, 710, 20, 283 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 748, 710, 20, 283 i.e 1.
3. How can I use the GCD of 748, 710, 20, 283Calculator?
Out the numbers 748, 710, 20, 283 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.