Online GCD Calculator is useful to find the GCD of 508, 848, 924, 971 quickly. Get the easiest ways to solve the greatest common divisor of 508, 848, 924, 971 i.e 1 in different methods as follows.
Given Input numbers are 508, 848, 924, 971
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
GCD of numbers is the greatest common divisor
So, the GCD (508, 848, 924, 971) = 1.
Given numbers are 508, 848, 924, 971
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 971 are 971
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 508, 848, 924, 971
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 848) = 107696
GCD(508, 848) = ( 508 x 848 ) / 107696
= 508 / 848
= 508
Step2:
LCM(4, 924) = 924
GCD(4, 924) = ( 4 x 924 ) / 924
= 4 / 924
= 4
Step3:
LCM(4, 971) = 3884
GCD(4, 971) = ( 4 x 971 ) / 3884
= 4 / 971
= 4
So, Greatest Common Divisor of 508, 848, 924, 971 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 848, 924, 971
The greatest common divisor of numbers 508, 848, 924, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 848, 924, 971 is 1.
1. What is the GCD of 508, 848, 924, 971?
GCD of given numbers 508, 848, 924, 971 is 1
2. How to calculate the greatest common divisor of 508, 848, 924, 971?
We can find the highest common divisor of 508, 848, 924, 971 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 508, 848, 924, 971 i.e 1.
3. How can I use the GCD of 508, 848, 924, 971Calculator?
Out the numbers 508, 848, 924, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.