GCD of 759, 957, 105 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 759, 957, 105 i.e. 3 largest integer that divides all the numbers equally.
GCD of 759, 957, 105 is 3
GCD(759, 957, 105) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 957, 105 is 3
GCD(759, 957, 105) = 3
GCDof 759,957,105 is 3
Given Input numbers are 759, 957, 105
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 759, 957, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 957, 105 is 3.
Therefore, GCD of numbers 759, 957, 105 is 3
Given Input Data is 759, 957, 105
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 105 is 3 x 5 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 759, 957, 105 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(759, 957) = 22011
GCD(759, 957) = ( 759 x 957 ) / 22011
GCD(759, 957) = 726363 / 22011
GCD(759, 957) = 33
Step2:
Here we consider the GCD from the above i.e. 33 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(33, 105) = 1155
GCD(33, 105) = ( 33 x 105 ) / 1155
GCD(33, 105) = 3465 / 1155
GCD(33, 105) = 3
GCD of 759, 957, 105 is 3
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FAQs on GCD of numbers 759, 957, 105
1. What is the GCD of 759, 957, 105?
GCD of 759, 957, 105 is 3
2. Where do I get the detailed procedure to find GCD of 759, 957, 105?
You can find a detailed procedure to find GCD of 759, 957, 105 on our page.
3. How to find GCD of 759, 957, 105 on a calculator?
You can find the GCD of 759, 957, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.