Online GCD Calculator is useful to find the GCD of 160, 700, 299, 775 quickly. Get the easiest ways to solve the greatest common divisor of 160, 700, 299, 775 i.e 1 in different methods as follows.
Given Input numbers are 160, 700, 299, 775
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 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
GCD of numbers is the greatest common divisor
So, the GCD (160, 700, 299, 775) = 1.
Given numbers are 160, 700, 299, 775
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 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 299 are 13 x 23
Prime factors of 775 are 5 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 160, 700, 299, 775
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 700) = 5600
GCD(160, 700) = ( 160 x 700 ) / 5600
= 160 / 700
= 160
Step2:
LCM(20, 299) = 5980
GCD(20, 299) = ( 20 x 299 ) / 5980
= 20 / 299
= 20
Step3:
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
= 1 / 775
= 1
So, Greatest Common Divisor of 160, 700, 299, 775 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 700, 299, 775
The greatest common divisor of numbers 160, 700, 299, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 700, 299, 775 is 1.
1. What is the GCD of 160, 700, 299, 775?
GCD of given numbers 160, 700, 299, 775 is 1
2. How to calculate the greatest common divisor of 160, 700, 299, 775?
We can find the highest common divisor of 160, 700, 299, 775 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, 700, 299, 775 i.e 1.
3. How can I use the GCD of 160, 700, 299, 775Calculator?
Out the numbers 160, 700, 299, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.