Online GCD Calculator is useful to find the GCD of 462, 308, 771, 734 quickly. Get the easiest ways to solve the greatest common divisor of 462, 308, 771, 734 i.e 1 in different methods as follows.
Given Input numbers are 462, 308, 771, 734
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
GCD of numbers is the greatest common divisor
So, the GCD (462, 308, 771, 734) = 1.
Given numbers are 462, 308, 771, 734
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 771 are 3 x 257
Prime factors of 734 are 2 x 367
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 308, 771, 734
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 308) = 924
GCD(462, 308) = ( 462 x 308 ) / 924
= 462 / 308
= 462
Step2:
LCM(154, 771) = 118734
GCD(154, 771) = ( 154 x 771 ) / 118734
= 154 / 771
= 154
Step3:
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
= 1 / 734
= 1
So, Greatest Common Divisor of 462, 308, 771, 734 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 308, 771, 734
The greatest common divisor of numbers 462, 308, 771, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 308, 771, 734 is 1.
1. What is the GCD of 462, 308, 771, 734?
GCD of given numbers 462, 308, 771, 734 is 1
2. How to calculate the greatest common divisor of 462, 308, 771, 734?
We can find the highest common divisor of 462, 308, 771, 734 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 462, 308, 771, 734 i.e 1.
3. How can I use the GCD of 462, 308, 771, 734Calculator?
Out the numbers 462, 308, 771, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.