GCD of 112, 770, 434 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 112, 770, 434 quickly. Get the easiest ways to solve the greatest common divisor of 112, 770, 434 i.e 14 in different methods as follows.
Given Input numbers are 112, 770, 434
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 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (112, 770, 434) = 14.
Given numbers are 112, 770, 434
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 770 are 2 x 5 x 7 x 11
Prime factors of 434 are 2 x 7 x 31
The highest common occurrence is 21 x 71
Therefore, GCD of 112, 770, 434 is 14.
Steps to Calculate GCD of 112, 770, 434 using LCM Formula
Given numbers are 112, 770, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 770) = 6160
GCD(112, 770) = ( 112 x 770 ) / 6160
= 112 / 770
= 112
Step2:
LCM(14, 434) = 434
GCD(14, 434) = ( 14 x 434 ) / 434
= 14 / 434
= 14
So, Greatest Common Divisor of 112, 770, 434 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 112, 770, 434
Given numbers are 112, 770, 434
The greatest common divisor of numbers 112, 770, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 770, 434 is 14.
FAQs on GCD of 112, 770, 434 Calculator
1. What is the GCD of 112, 770, 434?
GCD of given numbers 112, 770, 434 is 14
2. How to calculate the greatest common divisor of 112, 770, 434?
We can find the highest common divisor of 112, 770, 434 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, 770, 434 i.e 14.
3. How can I use the GCD of 112, 770, 434Calculator?
Out the numbers 112, 770, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.