Online GCD Calculator is useful to find the GCD of 462, 500, 777, 340 quickly. Get the easiest ways to solve the greatest common divisor of 462, 500, 777, 340 i.e 1 in different methods as follows.
Given Input numbers are 462, 500, 777, 340
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (462, 500, 777, 340) = 1.
Given numbers are 462, 500, 777, 340
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 777 are 3 x 7 x 37
Prime factors of 340 are 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 500, 777, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 500) = 115500
GCD(462, 500) = ( 462 x 500 ) / 115500
= 462 / 500
= 462
Step2:
LCM(2, 777) = 1554
GCD(2, 777) = ( 2 x 777 ) / 1554
= 2 / 777
= 2
Step3:
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
= 1 / 340
= 1
So, Greatest Common Divisor of 462, 500, 777, 340 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 500, 777, 340
The greatest common divisor of numbers 462, 500, 777, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 500, 777, 340 is 1.
1. What is the GCD of 462, 500, 777, 340?
GCD of given numbers 462, 500, 777, 340 is 1
2. How to calculate the greatest common divisor of 462, 500, 777, 340?
We can find the highest common divisor of 462, 500, 777, 340 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, 500, 777, 340 i.e 1.
3. How can I use the GCD of 462, 500, 777, 340Calculator?
Out the numbers 462, 500, 777, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.