Online GCD Calculator is useful to find the GCD of 898, 496, 821, 196 quickly. Get the easiest ways to solve the greatest common divisor of 898, 496, 821, 196 i.e 1 in different methods as follows.
Given Input numbers are 898, 496, 821, 196
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD of numbers is the greatest common divisor
So, the GCD (898, 496, 821, 196) = 1.
Given numbers are 898, 496, 821, 196
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 821 are 821
Prime factors of 196 are 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 898, 496, 821, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 496) = 222704
GCD(898, 496) = ( 898 x 496 ) / 222704
= 898 / 496
= 898
Step2:
LCM(2, 821) = 1642
GCD(2, 821) = ( 2 x 821 ) / 1642
= 2 / 821
= 2
Step3:
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
= 1 / 196
= 1
So, Greatest Common Divisor of 898, 496, 821, 196 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 496, 821, 196
The greatest common divisor of numbers 898, 496, 821, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 496, 821, 196 is 1.
1. What is the GCD of 898, 496, 821, 196?
GCD of given numbers 898, 496, 821, 196 is 1
2. How to calculate the greatest common divisor of 898, 496, 821, 196?
We can find the highest common divisor of 898, 496, 821, 196 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 898, 496, 821, 196 i.e 1.
3. How can I use the GCD of 898, 496, 821, 196Calculator?
Out the numbers 898, 496, 821, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.