Online GCD Calculator is useful to find the GCD of 971, 524, 135, 997 quickly. Get the easiest ways to solve the greatest common divisor of 971, 524, 135, 997 i.e 1 in different methods as follows.
Given Input numbers are 971, 524, 135, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (971, 524, 135, 997) = 1.
Given numbers are 971, 524, 135, 997
The list of prime factors of all numbers are
Prime factors of 971 are 971
Prime factors of 524 are 2 x 2 x 131
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 971, 524, 135, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(971, 524) = 508804
GCD(971, 524) = ( 971 x 524 ) / 508804
= 971 / 524
= 971
Step2:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 971, 524, 135, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 971, 524, 135, 997
The greatest common divisor of numbers 971, 524, 135, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 524, 135, 997 is 1.
1. What is the GCD of 971, 524, 135, 997?
GCD of given numbers 971, 524, 135, 997 is 1
2. How to calculate the greatest common divisor of 971, 524, 135, 997?
We can find the highest common divisor of 971, 524, 135, 997 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 971, 524, 135, 997 i.e 1.
3. How can I use the GCD of 971, 524, 135, 997Calculator?
Out the numbers 971, 524, 135, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.