Online GCD Calculator is useful to find the GCD of 925, 312, 972, 820 quickly. Get the easiest ways to solve the greatest common divisor of 925, 312, 972, 820 i.e 1 in different methods as follows.
Given Input numbers are 925, 312, 972, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (925, 312, 972, 820) = 1.
Given numbers are 925, 312, 972, 820
The list of prime factors of all numbers are
Prime factors of 925 are 5 x 5 x 37
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 925, 312, 972, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(925, 312) = 288600
GCD(925, 312) = ( 925 x 312 ) / 288600
= 925 / 312
= 925
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 925, 312, 972, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 925, 312, 972, 820
The greatest common divisor of numbers 925, 312, 972, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 925, 312, 972, 820 is 1.
1. What is the GCD of 925, 312, 972, 820?
GCD of given numbers 925, 312, 972, 820 is 1
2. How to calculate the greatest common divisor of 925, 312, 972, 820?
We can find the highest common divisor of 925, 312, 972, 820 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 925, 312, 972, 820 i.e 1.
3. How can I use the GCD of 925, 312, 972, 820Calculator?
Out the numbers 925, 312, 972, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.