GCD of 897, 770, 314 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 897, 770, 314 quickly. Get the easiest ways to solve the greatest common divisor of 897, 770, 314 i.e 1 in different methods as follows.
Given Input numbers are 897, 770, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (897, 770, 314) = 1.
Given numbers are 897, 770, 314
The list of prime factors of all numbers are
Prime factors of 897 are 3 x 13 x 23
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 897, 770, 314 using LCM Formula
Given numbers are 897, 770, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(897, 770) = 690690
GCD(897, 770) = ( 897 x 770 ) / 690690
= 897 / 770
= 897
Step2:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
So, Greatest Common Divisor of 897, 770, 314 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 897, 770, 314
Given numbers are 897, 770, 314
The greatest common divisor of numbers 897, 770, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 770, 314 is 1.
FAQs on GCD of 897, 770, 314 Calculator
1. What is the GCD of 897, 770, 314?
GCD of given numbers 897, 770, 314 is 1
2. How to calculate the greatest common divisor of 897, 770, 314?
We can find the highest common divisor of 897, 770, 314 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 897, 770, 314 i.e 1.
3. How can I use the GCD of 897, 770, 314Calculator?
Out the numbers 897, 770, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.