GCD of 698, 434, 74 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 698, 434, 74 quickly. Get the easiest ways to solve the greatest common divisor of 698, 434, 74 i.e 2 in different methods as follows.
Given Input numbers are 698, 434, 74
In the factoring method, we have to find the divisors of all numbers
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
GCD of numbers is the greatest common divisor
So, the GCD (698, 434, 74) = 2.
Given numbers are 698, 434, 74
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 434 are 2 x 7 x 31
Prime factors of 74 are 2 x 37
The highest common occurrence is 21
Therefore, GCD of 698, 434, 74 is 2.
Steps to Calculate GCD of 698, 434, 74 using LCM Formula
Given numbers are 698, 434, 74
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 434) = 151466
GCD(698, 434) = ( 698 x 434 ) / 151466
= 698 / 434
= 698
Step2:
LCM(2, 74) = 74
GCD(2, 74) = ( 2 x 74 ) / 74
= 2 / 74
= 2
So, Greatest Common Divisor of 698, 434, 74 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 698, 434, 74
Given numbers are 698, 434, 74
The greatest common divisor of numbers 698, 434, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 434, 74 is 2.
FAQs on GCD of 698, 434, 74 Calculator
1. What is the GCD of 698, 434, 74?
GCD of given numbers 698, 434, 74 is 2
2. How to calculate the greatest common divisor of 698, 434, 74?
We can find the highest common divisor of 698, 434, 74 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 698, 434, 74 i.e 2.
3. How can I use the GCD of 698, 434, 74Calculator?
Out the numbers 698, 434, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.