GCD of 742, 705, 110 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 705, 110 quickly. Get the easiest ways to solve the greatest common divisor of 742, 705, 110 i.e 1 in different methods as follows.
Given Input numbers are 742, 705, 110
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
GCD of numbers is the greatest common divisor
So, the GCD (742, 705, 110) = 1.
Given numbers are 742, 705, 110
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 705 are 3 x 5 x 47
Prime factors of 110 are 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 742, 705, 110 using LCM Formula
Given numbers are 742, 705, 110
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 705) = 523110
GCD(742, 705) = ( 742 x 705 ) / 523110
= 742 / 705
= 742
Step2:
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
= 1 / 110
= 1
So, Greatest Common Divisor of 742, 705, 110 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 742, 705, 110
Given numbers are 742, 705, 110
The greatest common divisor of numbers 742, 705, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 705, 110 is 1.
FAQs on GCD of 742, 705, 110 Calculator
1. What is the GCD of 742, 705, 110?
GCD of given numbers 742, 705, 110 is 1
2. How to calculate the greatest common divisor of 742, 705, 110?
We can find the highest common divisor of 742, 705, 110 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 742, 705, 110 i.e 1.
3. How can I use the GCD of 742, 705, 110Calculator?
Out the numbers 742, 705, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.