Online GCD Calculator is useful to find the GCD of 137, 971, 415, 580 quickly. Get the easiest ways to solve the greatest common divisor of 137, 971, 415, 580 i.e 1 in different methods as follows.
Given Input numbers are 137, 971, 415, 580
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 415 :
The positive integer divisors of 415 that completely divides 415 are.
1, 5, 83, 415
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD of numbers is the greatest common divisor
So, the GCD (137, 971, 415, 580) = 1.
Given numbers are 137, 971, 415, 580
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 971 are 971
Prime factors of 415 are 5 x 83
Prime factors of 580 are 2 x 2 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 971, 415, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 971) = 133027
GCD(137, 971) = ( 137 x 971 ) / 133027
= 137 / 971
= 137
Step2:
LCM(1, 415) = 415
GCD(1, 415) = ( 1 x 415 ) / 415
= 1 / 415
= 1
Step3:
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
= 1 / 580
= 1
So, Greatest Common Divisor of 137, 971, 415, 580 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 971, 415, 580
The greatest common divisor of numbers 137, 971, 415, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 971, 415, 580 is 1.
1. What is the GCD of 137, 971, 415, 580?
GCD of given numbers 137, 971, 415, 580 is 1
2. How to calculate the greatest common divisor of 137, 971, 415, 580?
We can find the highest common divisor of 137, 971, 415, 580 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 137, 971, 415, 580 i.e 1.
3. How can I use the GCD of 137, 971, 415, 580Calculator?
Out the numbers 137, 971, 415, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.