Online GCD Calculator is useful to find the GCD of 307, 520, 138, 524 quickly. Get the easiest ways to solve the greatest common divisor of 307, 520, 138, 524 i.e 1 in different methods as follows.
Given Input numbers are 307, 520, 138, 524
In the factoring method, we have to find the divisors of all numbers
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
GCD of numbers is the greatest common divisor
So, the GCD (307, 520, 138, 524) = 1.
Given numbers are 307, 520, 138, 524
The list of prime factors of all numbers are
Prime factors of 307 are 307
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 138 are 2 x 3 x 23
Prime factors of 524 are 2 x 2 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 307, 520, 138, 524
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(307, 520) = 159640
GCD(307, 520) = ( 307 x 520 ) / 159640
= 307 / 520
= 307
Step2:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
Step3:
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
= 1 / 524
= 1
So, Greatest Common Divisor of 307, 520, 138, 524 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 307, 520, 138, 524
The greatest common divisor of numbers 307, 520, 138, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 307, 520, 138, 524 is 1.
1. What is the GCD of 307, 520, 138, 524?
GCD of given numbers 307, 520, 138, 524 is 1
2. How to calculate the greatest common divisor of 307, 520, 138, 524?
We can find the highest common divisor of 307, 520, 138, 524 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 307, 520, 138, 524 i.e 1.
3. How can I use the GCD of 307, 520, 138, 524Calculator?
Out the numbers 307, 520, 138, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.