GCD of 107, 442, 135, 745 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 107, 442, 135, 745 quickly. Get the easiest ways to solve the greatest common divisor of 107, 442, 135, 745 i.e 1 in different methods as follows.
Given Input numbers are 107, 442, 135, 745
In the factoring method, we have to find the divisors of all numbers
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (107, 442, 135, 745) = 1.
Given numbers are 107, 442, 135, 745
The list of prime factors of all numbers are
Prime factors of 107 are 107
Prime factors of 442 are 2 x 13 x 17
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 107, 442, 135, 745 using LCM Formula
Given numbers are 107, 442, 135, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(107, 442) = 47294
GCD(107, 442) = ( 107 x 442 ) / 47294
= 107 / 442
= 107
Step2:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
Step3:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
So, Greatest Common Divisor of 107, 442, 135, 745 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 107, 442, 135, 745
Given numbers are 107, 442, 135, 745
The greatest common divisor of numbers 107, 442, 135, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 442, 135, 745 is 1.
FAQs on GCD of 107, 442, 135, 745 Calculator
1. What is the GCD of 107, 442, 135, 745?
GCD of given numbers 107, 442, 135, 745 is 1
2. How to calculate the greatest common divisor of 107, 442, 135, 745?
We can find the highest common divisor of 107, 442, 135, 745 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 107, 442, 135, 745 i.e 1.
3. How can I use the GCD of 107, 442, 135, 745Calculator?
Out the numbers 107, 442, 135, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.