GCD of 698, 564, 634 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 698, 564, 634 quickly. Get the easiest ways to solve the greatest common divisor of 698, 564, 634 i.e 2 in different methods as follows.
Given Input numbers are 698, 564, 634
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
GCD of numbers is the greatest common divisor
So, the GCD (698, 564, 634) = 2.
Given numbers are 698, 564, 634
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 634 are 2 x 317
The highest common occurrence is 21
Therefore, GCD of 698, 564, 634 is 2.
Steps to Calculate GCD of 698, 564, 634 using LCM Formula
Given numbers are 698, 564, 634
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 564) = 196836
GCD(698, 564) = ( 698 x 564 ) / 196836
= 698 / 564
= 698
Step2:
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
= 2 / 634
= 2
So, Greatest Common Divisor of 698, 564, 634 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 698, 564, 634
Given numbers are 698, 564, 634
The greatest common divisor of numbers 698, 564, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 564, 634 is 2.
FAQs on GCD of 698, 564, 634 Calculator
1. What is the GCD of 698, 564, 634?
GCD of given numbers 698, 564, 634 is 2
2. How to calculate the greatest common divisor of 698, 564, 634?
We can find the highest common divisor of 698, 564, 634 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, 564, 634 i.e 2.
3. How can I use the GCD of 698, 564, 634Calculator?
Out the numbers 698, 564, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.