Online GCD Calculator is useful to find the GCD of 289, 731, 120, 948 quickly. Get the easiest ways to solve the greatest common divisor of 289, 731, 120, 948 i.e 1 in different methods as follows.
Given Input numbers are 289, 731, 120, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
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 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (289, 731, 120, 948) = 1.
Given numbers are 289, 731, 120, 948
The list of prime factors of all numbers are
Prime factors of 289 are 17 x 17
Prime factors of 731 are 17 x 43
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 948 are 2 x 2 x 3 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 289, 731, 120, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(289, 731) = 12427
GCD(289, 731) = ( 289 x 731 ) / 12427
= 289 / 731
= 289
Step2:
LCM(17, 120) = 2040
GCD(17, 120) = ( 17 x 120 ) / 2040
= 17 / 120
= 17
Step3:
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
= 1 / 948
= 1
So, Greatest Common Divisor of 289, 731, 120, 948 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 289, 731, 120, 948
The greatest common divisor of numbers 289, 731, 120, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 731, 120, 948 is 1.
1. What is the GCD of 289, 731, 120, 948?
GCD of given numbers 289, 731, 120, 948 is 1
2. How to calculate the greatest common divisor of 289, 731, 120, 948?
We can find the highest common divisor of 289, 731, 120, 948 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 289, 731, 120, 948 i.e 1.
3. How can I use the GCD of 289, 731, 120, 948Calculator?
Out the numbers 289, 731, 120, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.