GCD of 991, 714, 69 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 991, 714, 69 quickly. Get the easiest ways to solve the greatest common divisor of 991, 714, 69 i.e 1 in different methods as follows.
Given Input numbers are 991, 714, 69
In the factoring method, we have to find the divisors of all numbers
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 69 :
The positive integer divisors of 69 that completely divides 69 are.
1, 3, 23, 69
GCD of numbers is the greatest common divisor
So, the GCD (991, 714, 69) = 1.
Given numbers are 991, 714, 69
The list of prime factors of all numbers are
Prime factors of 991 are 991
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 69 are 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 991, 714, 69 using LCM Formula
Given numbers are 991, 714, 69
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(991, 714) = 707574
GCD(991, 714) = ( 991 x 714 ) / 707574
= 991 / 714
= 991
Step2:
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
= 1 / 69
= 1
So, Greatest Common Divisor of 991, 714, 69 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 991, 714, 69
Given numbers are 991, 714, 69
The greatest common divisor of numbers 991, 714, 69 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 714, 69 is 1.
FAQs on GCD of 991, 714, 69 Calculator
1. What is the GCD of 991, 714, 69?
GCD of given numbers 991, 714, 69 is 1
2. How to calculate the greatest common divisor of 991, 714, 69?
We can find the highest common divisor of 991, 714, 69 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 991, 714, 69 i.e 1.
3. How can I use the GCD of 991, 714, 69Calculator?
Out the numbers 991, 714, 69 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.