Online GCD Calculator is useful to find the GCD of 212, 370, 100, 685 quickly. Get the easiest ways to solve the greatest common divisor of 212, 370, 100, 685 i.e 1 in different methods as follows.
Given Input numbers are 212, 370, 100, 685
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
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 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
GCD of numbers is the greatest common divisor
So, the GCD (212, 370, 100, 685) = 1.
Given numbers are 212, 370, 100, 685
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 370 are 2 x 5 x 37
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 685 are 5 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 212, 370, 100, 685
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 370) = 39220
GCD(212, 370) = ( 212 x 370 ) / 39220
= 212 / 370
= 212
Step2:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
Step3:
LCM(2, 685) = 1370
GCD(2, 685) = ( 2 x 685 ) / 1370
= 2 / 685
= 2
So, Greatest Common Divisor of 212, 370, 100, 685 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 370, 100, 685
The greatest common divisor of numbers 212, 370, 100, 685 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 370, 100, 685 is 1.
1. What is the GCD of 212, 370, 100, 685?
GCD of given numbers 212, 370, 100, 685 is 1
2. How to calculate the greatest common divisor of 212, 370, 100, 685?
We can find the highest common divisor of 212, 370, 100, 685 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 212, 370, 100, 685 i.e 1.
3. How can I use the GCD of 212, 370, 100, 685Calculator?
Out the numbers 212, 370, 100, 685 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.