Online GCD Calculator is useful to find the GCD of 160, 705, 685, 642 quickly. Get the easiest ways to solve the greatest common divisor of 160, 705, 685, 642 i.e 1 in different methods as follows.
Given Input numbers are 160, 705, 685, 642
In the factoring method, we have to find the divisors of all numbers
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (160, 705, 685, 642) = 1.
Given numbers are 160, 705, 685, 642
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 705 are 3 x 5 x 47
Prime factors of 685 are 5 x 137
Prime factors of 642 are 2 x 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 160, 705, 685, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 705) = 22560
GCD(160, 705) = ( 160 x 705 ) / 22560
= 160 / 705
= 160
Step2:
LCM(5, 685) = 685
GCD(5, 685) = ( 5 x 685 ) / 685
= 5 / 685
= 5
Step3:
LCM(5, 642) = 3210
GCD(5, 642) = ( 5 x 642 ) / 3210
= 5 / 642
= 5
So, Greatest Common Divisor of 160, 705, 685, 642 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 705, 685, 642
The greatest common divisor of numbers 160, 705, 685, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 705, 685, 642 is 1.
1. What is the GCD of 160, 705, 685, 642?
GCD of given numbers 160, 705, 685, 642 is 1
2. How to calculate the greatest common divisor of 160, 705, 685, 642?
We can find the highest common divisor of 160, 705, 685, 642 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 160, 705, 685, 642 i.e 1.
3. How can I use the GCD of 160, 705, 685, 642Calculator?
Out the numbers 160, 705, 685, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.