Online GCD Calculator is useful to find the GCD of 971, 508, 972, 421 quickly. Get the easiest ways to solve the greatest common divisor of 971, 508, 972, 421 i.e 1 in different methods as follows.
Given Input numbers are 971, 508, 972, 421
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 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
GCD of numbers is the greatest common divisor
So, the GCD (971, 508, 972, 421) = 1.
Given numbers are 971, 508, 972, 421
The list of prime factors of all numbers are
Prime factors of 971 are 971
Prime factors of 508 are 2 x 2 x 127
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 421 are 421
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 971, 508, 972, 421
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(971, 508) = 493268
GCD(971, 508) = ( 971 x 508 ) / 493268
= 971 / 508
= 971
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
= 1 / 421
= 1
So, Greatest Common Divisor of 971, 508, 972, 421 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 971, 508, 972, 421
The greatest common divisor of numbers 971, 508, 972, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 508, 972, 421 is 1.
1. What is the GCD of 971, 508, 972, 421?
GCD of given numbers 971, 508, 972, 421 is 1
2. How to calculate the greatest common divisor of 971, 508, 972, 421?
We can find the highest common divisor of 971, 508, 972, 421 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, 508, 972, 421 i.e 1.
3. How can I use the GCD of 971, 508, 972, 421Calculator?
Out the numbers 971, 508, 972, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.