Online GCD Calculator is useful to find the GCD of 112, 946, 369, 126 quickly. Get the easiest ways to solve the greatest common divisor of 112, 946, 369, 126 i.e 1 in different methods as follows.
Given Input numbers are 112, 946, 369, 126
In the factoring method, we have to find the divisors of all numbers
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 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (112, 946, 369, 126) = 1.
Given numbers are 112, 946, 369, 126
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 946 are 2 x 11 x 43
Prime factors of 369 are 3 x 3 x 41
Prime factors of 126 are 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 946, 369, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 946) = 52976
GCD(112, 946) = ( 112 x 946 ) / 52976
= 112 / 946
= 112
Step2:
LCM(2, 369) = 738
GCD(2, 369) = ( 2 x 369 ) / 738
= 2 / 369
= 2
Step3:
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
= 1 / 126
= 1
So, Greatest Common Divisor of 112, 946, 369, 126 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 946, 369, 126
The greatest common divisor of numbers 112, 946, 369, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 946, 369, 126 is 1.
1. What is the GCD of 112, 946, 369, 126?
GCD of given numbers 112, 946, 369, 126 is 1
2. How to calculate the greatest common divisor of 112, 946, 369, 126?
We can find the highest common divisor of 112, 946, 369, 126 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 112, 946, 369, 126 i.e 1.
3. How can I use the GCD of 112, 946, 369, 126Calculator?
Out the numbers 112, 946, 369, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.