GCD of 750, 924, 771 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 750, 924, 771 i.e. 3 largest integer that divides all the numbers equally.
GCD of 750, 924, 771 is 3
GCD(750, 924, 771) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 924, 771 is 3
GCD(750, 924, 771) = 3
GCDof 750,924,771 is 3
Given Input numbers are 750, 924, 771
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 750, 924, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 924, 771 is 3.
Therefore, GCD of numbers 750, 924, 771 is 3
Given Input Data is 750, 924, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 771 is 3 x 257
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 750, 924, 771 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(750, 924) = 115500
GCD(750, 924) = ( 750 x 924 ) / 115500
GCD(750, 924) = 693000 / 115500
GCD(750, 924) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 771) = 1542
GCD(6, 771) = ( 6 x 771 ) / 1542
GCD(6, 771) = 4626 / 1542
GCD(6, 771) = 3
GCD of 750, 924, 771 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 750, 924, 771
1. What is the GCD of 750, 924, 771?
GCD of 750, 924, 771 is 3
2. Where do I get the detailed procedure to find GCD of 750, 924, 771?
You can find a detailed procedure to find GCD of 750, 924, 771 on our page.
3. How to find GCD of 750, 924, 771 on a calculator?
You can find the GCD of 750, 924, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.