Online GCD Calculator is useful to find the GCD of 440, 590, 700 quickly. Get the easiest ways to solve the greatest common divisor of 440, 590, 700 i.e 10 in different methods as follows.
Given Input numbers are 440, 590, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
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
GCD of numbers is the greatest common divisor
So, the GCD (440, 590, 700) = 10.
Given numbers are 440, 590, 700
The list of prime factors of all numbers are
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 590 are 2 x 5 x 59
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 21 x 51
Therefore, GCD of 440, 590, 700 is 10.
Given numbers are 440, 590, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(440, 590) = 25960
GCD(440, 590) = ( 440 x 590 ) / 25960
= 440 / 590
= 440
Step2:
LCM(10, 700) = 700
GCD(10, 700) = ( 10 x 700 ) / 700
= 10 / 700
= 10
So, Greatest Common Divisor of 440, 590, 700 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 440, 590, 700
The greatest common divisor of numbers 440, 590, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 590, 700 is 10.
1. What is the GCD of 440, 590, 700?
GCD of given numbers 440, 590, 700 is 10
2. How to calculate the greatest common divisor of 440, 590, 700?
We can find the highest common divisor of 440, 590, 700 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 440, 590, 700 i.e 10.
3. How can I use the GCD of 440, 590, 700Calculator?
Out the numbers 440, 590, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.