Online GCD Calculator is useful to find the GCD of 212, 196, 357, 496 quickly. Get the easiest ways to solve the greatest common divisor of 212, 196, 357, 496 i.e 1 in different methods as follows.
Given Input numbers are 212, 196, 357, 496
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 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (212, 196, 357, 496) = 1.
Given numbers are 212, 196, 357, 496
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 357 are 3 x 7 x 17
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 212, 196, 357, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 196) = 10388
GCD(212, 196) = ( 212 x 196 ) / 10388
= 212 / 196
= 212
Step2:
LCM(4, 357) = 1428
GCD(4, 357) = ( 4 x 357 ) / 1428
= 4 / 357
= 4
Step3:
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
= 1 / 496
= 1
So, Greatest Common Divisor of 212, 196, 357, 496 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 196, 357, 496
The greatest common divisor of numbers 212, 196, 357, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 196, 357, 496 is 1.
1. What is the GCD of 212, 196, 357, 496?
GCD of given numbers 212, 196, 357, 496 is 1
2. How to calculate the greatest common divisor of 212, 196, 357, 496?
We can find the highest common divisor of 212, 196, 357, 496 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, 196, 357, 496 i.e 1.
3. How can I use the GCD of 212, 196, 357, 496Calculator?
Out the numbers 212, 196, 357, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.