GCD of 698, 436, 71, 724 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 698, 436, 71, 724 quickly. Get the easiest ways to solve the greatest common divisor of 698, 436, 71, 724 i.e 1 in different methods as follows.
Given Input numbers are 698, 436, 71, 724
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 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (698, 436, 71, 724) = 1.
Given numbers are 698, 436, 71, 724
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 436 are 2 x 2 x 109
Prime factors of 71 are 71
Prime factors of 724 are 2 x 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 698, 436, 71, 724 using LCM Formula
Given numbers are 698, 436, 71, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 436) = 152164
GCD(698, 436) = ( 698 x 436 ) / 152164
= 698 / 436
= 698
Step2:
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
= 2 / 71
= 2
Step3:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
So, Greatest Common Divisor of 698, 436, 71, 724 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 698, 436, 71, 724
Given numbers are 698, 436, 71, 724
The greatest common divisor of numbers 698, 436, 71, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 436, 71, 724 is 1.
FAQs on GCD of 698, 436, 71, 724 Calculator
1. What is the GCD of 698, 436, 71, 724?
GCD of given numbers 698, 436, 71, 724 is 1
2. How to calculate the greatest common divisor of 698, 436, 71, 724?
We can find the highest common divisor of 698, 436, 71, 724 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, 436, 71, 724 i.e 1.
3. How can I use the GCD of 698, 436, 71, 724Calculator?
Out the numbers 698, 436, 71, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.