Online GCD Calculator is useful to find the GCD of 112, 735, 861, 107 quickly. Get the easiest ways to solve the greatest common divisor of 112, 735, 861, 107 i.e 1 in different methods as follows.
Given Input numbers are 112, 735, 861, 107
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 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
GCD of numbers is the greatest common divisor
So, the GCD (112, 735, 861, 107) = 1.
Given numbers are 112, 735, 861, 107
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 735 are 3 x 5 x 7 x 7
Prime factors of 861 are 3 x 7 x 41
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 735, 861, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 735) = 11760
GCD(112, 735) = ( 112 x 735 ) / 11760
= 112 / 735
= 112
Step2:
LCM(7, 861) = 861
GCD(7, 861) = ( 7 x 861 ) / 861
= 7 / 861
= 7
Step3:
LCM(7, 107) = 749
GCD(7, 107) = ( 7 x 107 ) / 749
= 7 / 107
= 7
So, Greatest Common Divisor of 112, 735, 861, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 735, 861, 107
The greatest common divisor of numbers 112, 735, 861, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 735, 861, 107 is 1.
1. What is the GCD of 112, 735, 861, 107?
GCD of given numbers 112, 735, 861, 107 is 1
2. How to calculate the greatest common divisor of 112, 735, 861, 107?
We can find the highest common divisor of 112, 735, 861, 107 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, 735, 861, 107 i.e 1.
3. How can I use the GCD of 112, 735, 861, 107Calculator?
Out the numbers 112, 735, 861, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.