Online GCD Calculator is useful to find the GCD of 901, 648, 972, 508 quickly. Get the easiest ways to solve the greatest common divisor of 901, 648, 972, 508 i.e 1 in different methods as follows.
Given Input numbers are 901, 648, 972, 508
In the factoring method, we have to find the divisors of all numbers
Divisors of 901 :
The positive integer divisors of 901 that completely divides 901 are.
1, 17, 53, 901
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (901, 648, 972, 508) = 1.
Given numbers are 901, 648, 972, 508
The list of prime factors of all numbers are
Prime factors of 901 are 17 x 53
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 508 are 2 x 2 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 901, 648, 972, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(901, 648) = 583848
GCD(901, 648) = ( 901 x 648 ) / 583848
= 901 / 648
= 901
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
= 1 / 508
= 1
So, Greatest Common Divisor of 901, 648, 972, 508 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 901, 648, 972, 508
The greatest common divisor of numbers 901, 648, 972, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 901, 648, 972, 508 is 1.
1. What is the GCD of 901, 648, 972, 508?
GCD of given numbers 901, 648, 972, 508 is 1
2. How to calculate the greatest common divisor of 901, 648, 972, 508?
We can find the highest common divisor of 901, 648, 972, 508 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 901, 648, 972, 508 i.e 1.
3. How can I use the GCD of 901, 648, 972, 508Calculator?
Out the numbers 901, 648, 972, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.