GCD of 745, 335, 107, 112 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 745, 335, 107, 112 quickly. Get the easiest ways to solve the greatest common divisor of 745, 335, 107, 112 i.e 1 in different methods as follows.
Given Input numbers are 745, 335, 107, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 335 :
The positive integer divisors of 335 that completely divides 335 are.
1, 5, 67, 335
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (745, 335, 107, 112) = 1.
Given numbers are 745, 335, 107, 112
The list of prime factors of all numbers are
Prime factors of 745 are 5 x 149
Prime factors of 335 are 5 x 67
Prime factors of 107 are 107
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 745, 335, 107, 112 using LCM Formula
Given numbers are 745, 335, 107, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(745, 335) = 49915
GCD(745, 335) = ( 745 x 335 ) / 49915
= 745 / 335
= 745
Step2:
LCM(5, 107) = 535
GCD(5, 107) = ( 5 x 107 ) / 535
= 5 / 107
= 5
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 745, 335, 107, 112 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 745, 335, 107, 112
Given numbers are 745, 335, 107, 112
The greatest common divisor of numbers 745, 335, 107, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 335, 107, 112 is 1.
FAQs on GCD of 745, 335, 107, 112 Calculator
1. What is the GCD of 745, 335, 107, 112?
GCD of given numbers 745, 335, 107, 112 is 1
2. How to calculate the greatest common divisor of 745, 335, 107, 112?
We can find the highest common divisor of 745, 335, 107, 112 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 745, 335, 107, 112 i.e 1.
3. How can I use the GCD of 745, 335, 107, 112Calculator?
Out the numbers 745, 335, 107, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.