Online GCD Calculator is useful to find the GCD of 350, 700, 475 quickly. Get the easiest ways to solve the greatest common divisor of 350, 700, 475 i.e 25 in different methods as follows.
Given Input numbers are 350, 700, 475
In the factoring method, we have to find the divisors of all numbers
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
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 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
GCD of numbers is the greatest common divisor
So, the GCD (350, 700, 475) = 25.
Given numbers are 350, 700, 475
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 475 are 5 x 5 x 19
The highest common occurrence is 52
Therefore, GCD of 350, 700, 475 is 25.
Given numbers are 350, 700, 475
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 700) = 700
GCD(350, 700) = ( 350 x 700 ) / 700
= 350 / 700
= 350
Step2:
LCM(350, 475) = 6650
GCD(350, 475) = ( 350 x 475 ) / 6650
= 350 / 475
= 350
So, Greatest Common Divisor of 350, 700, 475 is 25
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 700, 475
The greatest common divisor of numbers 350, 700, 475 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 700, 475 is 25.
1. What is the GCD of 350, 700, 475?
GCD of given numbers 350, 700, 475 is 25
2. How to calculate the greatest common divisor of 350, 700, 475?
We can find the highest common divisor of 350, 700, 475 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 350, 700, 475 i.e 25.
3. How can I use the GCD of 350, 700, 475Calculator?
Out the numbers 350, 700, 475 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.