Online GCD Calculator is useful to find the GCD of 120, 970, 290, 341 quickly. Get the easiest ways to solve the greatest common divisor of 120, 970, 290, 341 i.e 1 in different methods as follows.
Given Input numbers are 120, 970, 290, 341
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
GCD of numbers is the greatest common divisor
So, the GCD (120, 970, 290, 341) = 1.
Given numbers are 120, 970, 290, 341
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 970 are 2 x 5 x 97
Prime factors of 290 are 2 x 5 x 29
Prime factors of 341 are 11 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 970, 290, 341
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 970) = 11640
GCD(120, 970) = ( 120 x 970 ) / 11640
= 120 / 970
= 120
Step2:
LCM(10, 290) = 290
GCD(10, 290) = ( 10 x 290 ) / 290
= 10 / 290
= 10
Step3:
LCM(10, 341) = 3410
GCD(10, 341) = ( 10 x 341 ) / 3410
= 10 / 341
= 10
So, Greatest Common Divisor of 120, 970, 290, 341 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 970, 290, 341
The greatest common divisor of numbers 120, 970, 290, 341 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 970, 290, 341 is 1.
1. What is the GCD of 120, 970, 290, 341?
GCD of given numbers 120, 970, 290, 341 is 1
2. How to calculate the greatest common divisor of 120, 970, 290, 341?
We can find the highest common divisor of 120, 970, 290, 341 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 120, 970, 290, 341 i.e 1.
3. How can I use the GCD of 120, 970, 290, 341Calculator?
Out the numbers 120, 970, 290, 341 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.