Online GCD Calculator is useful to find the GCD of 705, 316, 425, 832 quickly. Get the easiest ways to solve the greatest common divisor of 705, 316, 425, 832 i.e 1 in different methods as follows.
Given Input numbers are 705, 316, 425, 832
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 425 :
The positive integer divisors of 425 that completely divides 425 are.
1, 5, 17, 25, 85, 425
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
GCD of numbers is the greatest common divisor
So, the GCD (705, 316, 425, 832) = 1.
Given numbers are 705, 316, 425, 832
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 316 are 2 x 2 x 79
Prime factors of 425 are 5 x 5 x 17
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 316, 425, 832
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 316) = 222780
GCD(705, 316) = ( 705 x 316 ) / 222780
= 705 / 316
= 705
Step2:
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
= 1 / 425
= 1
Step3:
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
= 1 / 832
= 1
So, Greatest Common Divisor of 705, 316, 425, 832 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 316, 425, 832
The greatest common divisor of numbers 705, 316, 425, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 316, 425, 832 is 1.
1. What is the GCD of 705, 316, 425, 832?
GCD of given numbers 705, 316, 425, 832 is 1
2. How to calculate the greatest common divisor of 705, 316, 425, 832?
We can find the highest common divisor of 705, 316, 425, 832 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 705, 316, 425, 832 i.e 1.
3. How can I use the GCD of 705, 316, 425, 832Calculator?
Out the numbers 705, 316, 425, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.