Online GCD Calculator is useful to find the GCD of 241, 313, 142, 972 quickly. Get the easiest ways to solve the greatest common divisor of 241, 313, 142, 972 i.e 1 in different methods as follows.
Given Input numbers are 241, 313, 142, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 241 :
The positive integer divisors of 241 that completely divides 241 are.
1, 241
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
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
GCD of numbers is the greatest common divisor
So, the GCD (241, 313, 142, 972) = 1.
Given numbers are 241, 313, 142, 972
The list of prime factors of all numbers are
Prime factors of 241 are 241
Prime factors of 313 are 313
Prime factors of 142 are 2 x 71
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 241, 313, 142, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(241, 313) = 75433
GCD(241, 313) = ( 241 x 313 ) / 75433
= 241 / 313
= 241
Step2:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 241, 313, 142, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 241, 313, 142, 972
The greatest common divisor of numbers 241, 313, 142, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 241, 313, 142, 972 is 1.
1. What is the GCD of 241, 313, 142, 972?
GCD of given numbers 241, 313, 142, 972 is 1
2. How to calculate the greatest common divisor of 241, 313, 142, 972?
We can find the highest common divisor of 241, 313, 142, 972 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 241, 313, 142, 972 i.e 1.
3. How can I use the GCD of 241, 313, 142, 972Calculator?
Out the numbers 241, 313, 142, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.