Online GCD Calculator is useful to find the GCD of 471, 424, 742, 762 quickly. Get the easiest ways to solve the greatest common divisor of 471, 424, 742, 762 i.e 1 in different methods as follows.
Given Input numbers are 471, 424, 742, 762
In the factoring method, we have to find the divisors of all numbers
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (471, 424, 742, 762) = 1.
Given numbers are 471, 424, 742, 762
The list of prime factors of all numbers are
Prime factors of 471 are 3 x 157
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 742 are 2 x 7 x 53
Prime factors of 762 are 2 x 3 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 471, 424, 742, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(471, 424) = 199704
GCD(471, 424) = ( 471 x 424 ) / 199704
= 471 / 424
= 471
Step2:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
Step3:
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
= 1 / 762
= 1
So, Greatest Common Divisor of 471, 424, 742, 762 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 471, 424, 742, 762
The greatest common divisor of numbers 471, 424, 742, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 424, 742, 762 is 1.
1. What is the GCD of 471, 424, 742, 762?
GCD of given numbers 471, 424, 742, 762 is 1
2. How to calculate the greatest common divisor of 471, 424, 742, 762?
We can find the highest common divisor of 471, 424, 742, 762 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 471, 424, 742, 762 i.e 1.
3. How can I use the GCD of 471, 424, 742, 762Calculator?
Out the numbers 471, 424, 742, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.