GCD of 945, 696, 914 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 945, 696, 914 quickly. Get the easiest ways to solve the greatest common divisor of 945, 696, 914 i.e 1 in different methods as follows.
Given Input numbers are 945, 696, 914
In the factoring method, we have to find the divisors of all numbers
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
GCD of numbers is the greatest common divisor
So, the GCD (945, 696, 914) = 1.
Given numbers are 945, 696, 914
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 914 are 2 x 457
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 945, 696, 914 using LCM Formula
Given numbers are 945, 696, 914
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 696) = 219240
GCD(945, 696) = ( 945 x 696 ) / 219240
= 945 / 696
= 945
Step2:
LCM(3, 914) = 2742
GCD(3, 914) = ( 3 x 914 ) / 2742
= 3 / 914
= 3
So, Greatest Common Divisor of 945, 696, 914 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 945, 696, 914
Given numbers are 945, 696, 914
The greatest common divisor of numbers 945, 696, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 696, 914 is 1.
FAQs on GCD of 945, 696, 914 Calculator
1. What is the GCD of 945, 696, 914?
GCD of given numbers 945, 696, 914 is 1
2. How to calculate the greatest common divisor of 945, 696, 914?
We can find the highest common divisor of 945, 696, 914 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 945, 696, 914 i.e 1.
3. How can I use the GCD of 945, 696, 914Calculator?
Out the numbers 945, 696, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.