Online GCD Calculator is useful to find the GCD of 892, 632, 825, 117 quickly. Get the easiest ways to solve the greatest common divisor of 892, 632, 825, 117 i.e 1 in different methods as follows.
Given Input numbers are 892, 632, 825, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
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 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (892, 632, 825, 117) = 1.
Given numbers are 892, 632, 825, 117
The list of prime factors of all numbers are
Prime factors of 892 are 2 x 2 x 223
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 892, 632, 825, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(892, 632) = 140936
GCD(892, 632) = ( 892 x 632 ) / 140936
= 892 / 632
= 892
Step2:
LCM(4, 825) = 3300
GCD(4, 825) = ( 4 x 825 ) / 3300
= 4 / 825
= 4
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 892, 632, 825, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 892, 632, 825, 117
The greatest common divisor of numbers 892, 632, 825, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 632, 825, 117 is 1.
1. What is the GCD of 892, 632, 825, 117?
GCD of given numbers 892, 632, 825, 117 is 1
2. How to calculate the greatest common divisor of 892, 632, 825, 117?
We can find the highest common divisor of 892, 632, 825, 117 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 892, 632, 825, 117 i.e 1.
3. How can I use the GCD of 892, 632, 825, 117Calculator?
Out the numbers 892, 632, 825, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.