GCD of 771, 636, 314, 698 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 771, 636, 314, 698 quickly. Get the easiest ways to solve the greatest common divisor of 771, 636, 314, 698 i.e 1 in different methods as follows.
Given Input numbers are 771, 636, 314, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (771, 636, 314, 698) = 1.
Given numbers are 771, 636, 314, 698
The list of prime factors of all numbers are
Prime factors of 771 are 3 x 257
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 314 are 2 x 157
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 771, 636, 314, 698 using LCM Formula
Given numbers are 771, 636, 314, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(771, 636) = 163452
GCD(771, 636) = ( 771 x 636 ) / 163452
= 771 / 636
= 771
Step2:
LCM(3, 314) = 942
GCD(3, 314) = ( 3 x 314 ) / 942
= 3 / 314
= 3
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 771, 636, 314, 698 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 771, 636, 314, 698
Given numbers are 771, 636, 314, 698
The greatest common divisor of numbers 771, 636, 314, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 636, 314, 698 is 1.
FAQs on GCD of 771, 636, 314, 698 Calculator
1. What is the GCD of 771, 636, 314, 698?
GCD of given numbers 771, 636, 314, 698 is 1
2. How to calculate the greatest common divisor of 771, 636, 314, 698?
We can find the highest common divisor of 771, 636, 314, 698 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 771, 636, 314, 698 i.e 1.
3. How can I use the GCD of 771, 636, 314, 698Calculator?
Out the numbers 771, 636, 314, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.