Online GCD Calculator is useful to find the GCD of 342, 975, 261, 488 quickly. Get the easiest ways to solve the greatest common divisor of 342, 975, 261, 488 i.e 1 in different methods as follows.
Given Input numbers are 342, 975, 261, 488
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
GCD of numbers is the greatest common divisor
So, the GCD (342, 975, 261, 488) = 1.
Given numbers are 342, 975, 261, 488
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 261 are 3 x 3 x 29
Prime factors of 488 are 2 x 2 x 2 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 342, 975, 261, 488
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 975) = 111150
GCD(342, 975) = ( 342 x 975 ) / 111150
= 342 / 975
= 342
Step2:
LCM(3, 261) = 261
GCD(3, 261) = ( 3 x 261 ) / 261
= 3 / 261
= 3
Step3:
LCM(3, 488) = 1464
GCD(3, 488) = ( 3 x 488 ) / 1464
= 3 / 488
= 3
So, Greatest Common Divisor of 342, 975, 261, 488 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 975, 261, 488
The greatest common divisor of numbers 342, 975, 261, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 975, 261, 488 is 1.
1. What is the GCD of 342, 975, 261, 488?
GCD of given numbers 342, 975, 261, 488 is 1
2. How to calculate the greatest common divisor of 342, 975, 261, 488?
We can find the highest common divisor of 342, 975, 261, 488 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 342, 975, 261, 488 i.e 1.
3. How can I use the GCD of 342, 975, 261, 488Calculator?
Out the numbers 342, 975, 261, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.