Online GCD Calculator is useful to find the GCD of 121, 341, 840, 289 quickly. Get the easiest ways to solve the greatest common divisor of 121, 341, 840, 289 i.e 1 in different methods as follows.
Given Input numbers are 121, 341, 840, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (121, 341, 840, 289) = 1.
Given numbers are 121, 341, 840, 289
The list of prime factors of all numbers are
Prime factors of 121 are 11 x 11
Prime factors of 341 are 11 x 31
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 121, 341, 840, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(121, 341) = 3751
GCD(121, 341) = ( 121 x 341 ) / 3751
= 121 / 341
= 121
Step2:
LCM(11, 840) = 9240
GCD(11, 840) = ( 11 x 840 ) / 9240
= 11 / 840
= 11
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 121, 341, 840, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 121, 341, 840, 289
The greatest common divisor of numbers 121, 341, 840, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 341, 840, 289 is 1.
1. What is the GCD of 121, 341, 840, 289?
GCD of given numbers 121, 341, 840, 289 is 1
2. How to calculate the greatest common divisor of 121, 341, 840, 289?
We can find the highest common divisor of 121, 341, 840, 289 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 121, 341, 840, 289 i.e 1.
3. How can I use the GCD of 121, 341, 840, 289Calculator?
Out the numbers 121, 341, 840, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.