Online GCD Calculator is useful to find the GCD of 821, 500, 670, 175 quickly. Get the easiest ways to solve the greatest common divisor of 821, 500, 670, 175 i.e 1 in different methods as follows.
Given Input numbers are 821, 500, 670, 175
In the factoring method, we have to find the divisors of all numbers
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (821, 500, 670, 175) = 1.
Given numbers are 821, 500, 670, 175
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 670 are 2 x 5 x 67
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 821, 500, 670, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 500) = 410500
GCD(821, 500) = ( 821 x 500 ) / 410500
= 821 / 500
= 821
Step2:
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
= 1 / 670
= 1
Step3:
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
= 1 / 175
= 1
So, Greatest Common Divisor of 821, 500, 670, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 821, 500, 670, 175
The greatest common divisor of numbers 821, 500, 670, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 500, 670, 175 is 1.
1. What is the GCD of 821, 500, 670, 175?
GCD of given numbers 821, 500, 670, 175 is 1
2. How to calculate the greatest common divisor of 821, 500, 670, 175?
We can find the highest common divisor of 821, 500, 670, 175 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 821, 500, 670, 175 i.e 1.
3. How can I use the GCD of 821, 500, 670, 175Calculator?
Out the numbers 821, 500, 670, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.