Online GCD Calculator is useful to find the GCD of 121, 312, 524, 538 quickly. Get the easiest ways to solve the greatest common divisor of 121, 312, 524, 538 i.e 1 in different methods as follows.
Given Input numbers are 121, 312, 524, 538
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 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (121, 312, 524, 538) = 1.
Given numbers are 121, 312, 524, 538
The list of prime factors of all numbers are
Prime factors of 121 are 11 x 11
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 524 are 2 x 2 x 131
Prime factors of 538 are 2 x 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 121, 312, 524, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(121, 312) = 37752
GCD(121, 312) = ( 121 x 312 ) / 37752
= 121 / 312
= 121
Step2:
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
= 1 / 524
= 1
Step3:
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
= 1 / 538
= 1
So, Greatest Common Divisor of 121, 312, 524, 538 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 121, 312, 524, 538
The greatest common divisor of numbers 121, 312, 524, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 312, 524, 538 is 1.
1. What is the GCD of 121, 312, 524, 538?
GCD of given numbers 121, 312, 524, 538 is 1
2. How to calculate the greatest common divisor of 121, 312, 524, 538?
We can find the highest common divisor of 121, 312, 524, 538 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, 312, 524, 538 i.e 1.
3. How can I use the GCD of 121, 312, 524, 538Calculator?
Out the numbers 121, 312, 524, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.