Online GCD Calculator is useful to find the GCD of 357, 500, 112, 892 quickly. Get the easiest ways to solve the greatest common divisor of 357, 500, 112, 892 i.e 1 in different methods as follows.
Given Input numbers are 357, 500, 112, 892
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (357, 500, 112, 892) = 1.
Given numbers are 357, 500, 112, 892
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 892 are 2 x 2 x 223
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 357, 500, 112, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 500) = 178500
GCD(357, 500) = ( 357 x 500 ) / 178500
= 357 / 500
= 357
Step2:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
Step3:
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
= 1 / 892
= 1
So, Greatest Common Divisor of 357, 500, 112, 892 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 500, 112, 892
The greatest common divisor of numbers 357, 500, 112, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 500, 112, 892 is 1.
1. What is the GCD of 357, 500, 112, 892?
GCD of given numbers 357, 500, 112, 892 is 1
2. How to calculate the greatest common divisor of 357, 500, 112, 892?
We can find the highest common divisor of 357, 500, 112, 892 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 357, 500, 112, 892 i.e 1.
3. How can I use the GCD of 357, 500, 112, 892Calculator?
Out the numbers 357, 500, 112, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.