Online GCD Calculator is useful to find the GCD of 170, 471, 700, 224 quickly. Get the easiest ways to solve the greatest common divisor of 170, 471, 700, 224 i.e 1 in different methods as follows.
Given Input numbers are 170, 471, 700, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
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 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (170, 471, 700, 224) = 1.
Given numbers are 170, 471, 700, 224
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 471 are 3 x 157
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 224 are 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 170, 471, 700, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 471) = 80070
GCD(170, 471) = ( 170 x 471 ) / 80070
= 170 / 471
= 170
Step2:
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
= 1 / 700
= 1
Step3:
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
= 1 / 224
= 1
So, Greatest Common Divisor of 170, 471, 700, 224 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 170, 471, 700, 224
The greatest common divisor of numbers 170, 471, 700, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 471, 700, 224 is 1.
1. What is the GCD of 170, 471, 700, 224?
GCD of given numbers 170, 471, 700, 224 is 1
2. How to calculate the greatest common divisor of 170, 471, 700, 224?
We can find the highest common divisor of 170, 471, 700, 224 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 170, 471, 700, 224 i.e 1.
3. How can I use the GCD of 170, 471, 700, 224Calculator?
Out the numbers 170, 471, 700, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.