Online GCD Calculator is useful to find the GCD of 825, 151, 784, 972 quickly. Get the easiest ways to solve the greatest common divisor of 825, 151, 784, 972 i.e 1 in different methods as follows.
Given Input numbers are 825, 151, 784, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 151 :
The positive integer divisors of 151 that completely divides 151 are.
1, 151
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
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
GCD of numbers is the greatest common divisor
So, the GCD (825, 151, 784, 972) = 1.
Given numbers are 825, 151, 784, 972
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 151 are 151
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 151, 784, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 151) = 124575
GCD(825, 151) = ( 825 x 151 ) / 124575
= 825 / 151
= 825
Step2:
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
= 1 / 784
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 825, 151, 784, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 151, 784, 972
The greatest common divisor of numbers 825, 151, 784, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 151, 784, 972 is 1.
1. What is the GCD of 825, 151, 784, 972?
GCD of given numbers 825, 151, 784, 972 is 1
2. How to calculate the greatest common divisor of 825, 151, 784, 972?
We can find the highest common divisor of 825, 151, 784, 972 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 825, 151, 784, 972 i.e 1.
3. How can I use the GCD of 825, 151, 784, 972Calculator?
Out the numbers 825, 151, 784, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.