Online GCD Calculator is useful to find the GCD of 351, 196, 518, 420 quickly. Get the easiest ways to solve the greatest common divisor of 351, 196, 518, 420 i.e 1 in different methods as follows.
Given Input numbers are 351, 196, 518, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (351, 196, 518, 420) = 1.
Given numbers are 351, 196, 518, 420
The list of prime factors of all numbers are
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 518 are 2 x 7 x 37
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 351, 196, 518, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(351, 196) = 68796
GCD(351, 196) = ( 351 x 196 ) / 68796
= 351 / 196
= 351
Step2:
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
= 1 / 518
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 351, 196, 518, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 351, 196, 518, 420
The greatest common divisor of numbers 351, 196, 518, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 196, 518, 420 is 1.
1. What is the GCD of 351, 196, 518, 420?
GCD of given numbers 351, 196, 518, 420 is 1
2. How to calculate the greatest common divisor of 351, 196, 518, 420?
We can find the highest common divisor of 351, 196, 518, 420 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 351, 196, 518, 420 i.e 1.
3. How can I use the GCD of 351, 196, 518, 420Calculator?
Out the numbers 351, 196, 518, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.