Online GCD Calculator is useful to find the GCD of 765, 705, 107, 448 quickly. Get the easiest ways to solve the greatest common divisor of 765, 705, 107, 448 i.e 1 in different methods as follows.
Given Input numbers are 765, 705, 107, 448
In the factoring method, we have to find the divisors of all numbers
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 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (765, 705, 107, 448) = 1.
Given numbers are 765, 705, 107, 448
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 705 are 3 x 5 x 47
Prime factors of 107 are 107
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 765, 705, 107, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 705) = 35955
GCD(765, 705) = ( 765 x 705 ) / 35955
= 765 / 705
= 765
Step2:
LCM(15, 107) = 1605
GCD(15, 107) = ( 15 x 107 ) / 1605
= 15 / 107
= 15
Step3:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
So, Greatest Common Divisor of 765, 705, 107, 448 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 765, 705, 107, 448
The greatest common divisor of numbers 765, 705, 107, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 705, 107, 448 is 1.
1. What is the GCD of 765, 705, 107, 448?
GCD of given numbers 765, 705, 107, 448 is 1
2. How to calculate the greatest common divisor of 765, 705, 107, 448?
We can find the highest common divisor of 765, 705, 107, 448 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 765, 705, 107, 448 i.e 1.
3. How can I use the GCD of 765, 705, 107, 448Calculator?
Out the numbers 765, 705, 107, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.