Online GCD Calculator is useful to find the GCD of 800, 100, 670 quickly. Get the easiest ways to solve the greatest common divisor of 800, 100, 670 i.e 10 in different methods as follows.
Given Input numbers are 800, 100, 670
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
GCD of numbers is the greatest common divisor
So, the GCD (800, 100, 670) = 10.
Given numbers are 800, 100, 670
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 670 are 2 x 5 x 67
The highest common occurrence is 21 x 51
Therefore, GCD of 800, 100, 670 is 10.
Given numbers are 800, 100, 670
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 100) = 800
GCD(800, 100) = ( 800 x 100 ) / 800
= 800 / 100
= 800
Step2:
LCM(100, 670) = 6700
GCD(100, 670) = ( 100 x 670 ) / 6700
= 100 / 670
= 100
So, Greatest Common Divisor of 800, 100, 670 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 100, 670
The greatest common divisor of numbers 800, 100, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 100, 670 is 10.
1. What is the GCD of 800, 100, 670?
GCD of given numbers 800, 100, 670 is 10
2. How to calculate the greatest common divisor of 800, 100, 670?
We can find the highest common divisor of 800, 100, 670 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 800, 100, 670 i.e 10.
3. How can I use the GCD of 800, 100, 670Calculator?
Out the numbers 800, 100, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.