Online GCD Calculator is useful to find the GCD of 427, 210, 700 quickly. Get the easiest ways to solve the greatest common divisor of 427, 210, 700 i.e 7 in different methods as follows.
Given Input numbers are 427, 210, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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 (427, 210, 700) = 7.
Given numbers are 427, 210, 700
The list of prime factors of all numbers are
Prime factors of 427 are 7 x 61
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 71
Therefore, GCD of 427, 210, 700 is 7.
Given numbers are 427, 210, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(427, 210) = 12810
GCD(427, 210) = ( 427 x 210 ) / 12810
= 427 / 210
= 427
Step2:
LCM(7, 700) = 700
GCD(7, 700) = ( 7 x 700 ) / 700
= 7 / 700
= 7
So, Greatest Common Divisor of 427, 210, 700 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 427, 210, 700
The greatest common divisor of numbers 427, 210, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 210, 700 is 7.
1. What is the GCD of 427, 210, 700?
GCD of given numbers 427, 210, 700 is 7
2. How to calculate the greatest common divisor of 427, 210, 700?
We can find the highest common divisor of 427, 210, 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 427, 210, 700 i.e 7.
3. How can I use the GCD of 427, 210, 700Calculator?
Out the numbers 427, 210, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.