Online GCD Calculator is useful to find the GCD of 660, 765, 352, 784 quickly. Get the easiest ways to solve the greatest common divisor of 660, 765, 352, 784 i.e 1 in different methods as follows.
Given Input numbers are 660, 765, 352, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (660, 765, 352, 784) = 1.
Given numbers are 660, 765, 352, 784
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 660, 765, 352, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 765) = 33660
GCD(660, 765) = ( 660 x 765 ) / 33660
= 660 / 765
= 660
Step2:
LCM(15, 352) = 5280
GCD(15, 352) = ( 15 x 352 ) / 5280
= 15 / 352
= 15
Step3:
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
= 1 / 784
= 1
So, Greatest Common Divisor of 660, 765, 352, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 765, 352, 784
The greatest common divisor of numbers 660, 765, 352, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 765, 352, 784 is 1.
1. What is the GCD of 660, 765, 352, 784?
GCD of given numbers 660, 765, 352, 784 is 1
2. How to calculate the greatest common divisor of 660, 765, 352, 784?
We can find the highest common divisor of 660, 765, 352, 784 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 660, 765, 352, 784 i.e 1.
3. How can I use the GCD of 660, 765, 352, 784Calculator?
Out the numbers 660, 765, 352, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.