Online GCD Calculator is useful to find the GCD of 465, 384, 490, 769 quickly. Get the easiest ways to solve the greatest common divisor of 465, 384, 490, 769 i.e 1 in different methods as follows.
Given Input numbers are 465, 384, 490, 769
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
GCD of numbers is the greatest common divisor
So, the GCD (465, 384, 490, 769) = 1.
Given numbers are 465, 384, 490, 769
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 769 are 769
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 465, 384, 490, 769
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 384) = 59520
GCD(465, 384) = ( 465 x 384 ) / 59520
= 465 / 384
= 465
Step2:
LCM(3, 490) = 1470
GCD(3, 490) = ( 3 x 490 ) / 1470
= 3 / 490
= 3
Step3:
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
= 1 / 769
= 1
So, Greatest Common Divisor of 465, 384, 490, 769 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 384, 490, 769
The greatest common divisor of numbers 465, 384, 490, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 384, 490, 769 is 1.
1. What is the GCD of 465, 384, 490, 769?
GCD of given numbers 465, 384, 490, 769 is 1
2. How to calculate the greatest common divisor of 465, 384, 490, 769?
We can find the highest common divisor of 465, 384, 490, 769 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 465, 384, 490, 769 i.e 1.
3. How can I use the GCD of 465, 384, 490, 769Calculator?
Out the numbers 465, 384, 490, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.