Online GCD Calculator is useful to find the GCD of 972, 807, 363, 470 quickly. Get the easiest ways to solve the greatest common divisor of 972, 807, 363, 470 i.e 1 in different methods as follows.
Given Input numbers are 972, 807, 363, 470
In the factoring method, we have to find the divisors of all numbers
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 807 :
The positive integer divisors of 807 that completely divides 807 are.
1, 3, 269, 807
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (972, 807, 363, 470) = 1.
Given numbers are 972, 807, 363, 470
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 807 are 3 x 269
Prime factors of 363 are 3 x 11 x 11
Prime factors of 470 are 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 807, 363, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 807) = 261468
GCD(972, 807) = ( 972 x 807 ) / 261468
= 972 / 807
= 972
Step2:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
Step3:
LCM(3, 470) = 1410
GCD(3, 470) = ( 3 x 470 ) / 1410
= 3 / 470
= 3
So, Greatest Common Divisor of 972, 807, 363, 470 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 807, 363, 470
The greatest common divisor of numbers 972, 807, 363, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 807, 363, 470 is 1.
1. What is the GCD of 972, 807, 363, 470?
GCD of given numbers 972, 807, 363, 470 is 1
2. How to calculate the greatest common divisor of 972, 807, 363, 470?
We can find the highest common divisor of 972, 807, 363, 470 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 972, 807, 363, 470 i.e 1.
3. How can I use the GCD of 972, 807, 363, 470Calculator?
Out the numbers 972, 807, 363, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.