Online GCD Calculator is useful to find the GCD of 462, 756, 196, 307 quickly. Get the easiest ways to solve the greatest common divisor of 462, 756, 196, 307 i.e 1 in different methods as follows.
Given Input numbers are 462, 756, 196, 307
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 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
GCD of numbers is the greatest common divisor
So, the GCD (462, 756, 196, 307) = 1.
Given numbers are 462, 756, 196, 307
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 307 are 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 756, 196, 307
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 756) = 8316
GCD(462, 756) = ( 462 x 756 ) / 8316
= 462 / 756
= 462
Step2:
LCM(42, 196) = 588
GCD(42, 196) = ( 42 x 196 ) / 588
= 42 / 196
= 42
Step3:
LCM(14, 307) = 4298
GCD(14, 307) = ( 14 x 307 ) / 4298
= 14 / 307
= 14
So, Greatest Common Divisor of 462, 756, 196, 307 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 756, 196, 307
The greatest common divisor of numbers 462, 756, 196, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 756, 196, 307 is 1.
1. What is the GCD of 462, 756, 196, 307?
GCD of given numbers 462, 756, 196, 307 is 1
2. How to calculate the greatest common divisor of 462, 756, 196, 307?
We can find the highest common divisor of 462, 756, 196, 307 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, 756, 196, 307 i.e 1.
3. How can I use the GCD of 462, 756, 196, 307Calculator?
Out the numbers 462, 756, 196, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.