GCD of 271, 945, 428, 691 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 271, 945, 428, 691 quickly. Get the easiest ways to solve the greatest common divisor of 271, 945, 428, 691 i.e 1 in different methods as follows.
Given Input numbers are 271, 945, 428, 691
In the factoring method, we have to find the divisors of all numbers
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
GCD of numbers is the greatest common divisor
So, the GCD (271, 945, 428, 691) = 1.
Given numbers are 271, 945, 428, 691
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 428 are 2 x 2 x 107
Prime factors of 691 are 691
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 271, 945, 428, 691 using LCM Formula
Given numbers are 271, 945, 428, 691
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 945) = 256095
GCD(271, 945) = ( 271 x 945 ) / 256095
= 271 / 945
= 271
Step2:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
Step3:
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
= 1 / 691
= 1
So, Greatest Common Divisor of 271, 945, 428, 691 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 271, 945, 428, 691
Given numbers are 271, 945, 428, 691
The greatest common divisor of numbers 271, 945, 428, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 945, 428, 691 is 1.
FAQs on GCD of 271, 945, 428, 691 Calculator
1. What is the GCD of 271, 945, 428, 691?
GCD of given numbers 271, 945, 428, 691 is 1
2. How to calculate the greatest common divisor of 271, 945, 428, 691?
We can find the highest common divisor of 271, 945, 428, 691 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 271, 945, 428, 691 i.e 1.
3. How can I use the GCD of 271, 945, 428, 691Calculator?
Out the numbers 271, 945, 428, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.