Online GCD Calculator is useful to find the GCD of 898, 972, 197, 169 quickly. Get the easiest ways to solve the greatest common divisor of 898, 972, 197, 169 i.e 1 in different methods as follows.
Given Input numbers are 898, 972, 197, 169
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 197 :
The positive integer divisors of 197 that completely divides 197 are.
1, 197
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
GCD of numbers is the greatest common divisor
So, the GCD (898, 972, 197, 169) = 1.
Given numbers are 898, 972, 197, 169
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 197 are 197
Prime factors of 169 are 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 898, 972, 197, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 972) = 436428
GCD(898, 972) = ( 898 x 972 ) / 436428
= 898 / 972
= 898
Step2:
LCM(2, 197) = 394
GCD(2, 197) = ( 2 x 197 ) / 394
= 2 / 197
= 2
Step3:
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
= 1 / 169
= 1
So, Greatest Common Divisor of 898, 972, 197, 169 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 972, 197, 169
The greatest common divisor of numbers 898, 972, 197, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 972, 197, 169 is 1.
1. What is the GCD of 898, 972, 197, 169?
GCD of given numbers 898, 972, 197, 169 is 1
2. How to calculate the greatest common divisor of 898, 972, 197, 169?
We can find the highest common divisor of 898, 972, 197, 169 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, 972, 197, 169 i.e 1.
3. How can I use the GCD of 898, 972, 197, 169Calculator?
Out the numbers 898, 972, 197, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.