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 770, 768, 32 i.e. 2 largest integer that divides all the numbers equally.
GCD of 770, 768, 32 is 2
GCD(770, 768, 32) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 768, 32 is 2
GCD(770, 768, 32) = 2
Given Input numbers are 770, 768, 32
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Greatest Common Divisior
We found the divisors of 770, 768, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 768, 32 is 2.
Therefore, GCD of numbers 770, 768, 32 is 2
Given Input Data is 770, 768, 32
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(770, 768) = 295680
GCD(770, 768) = ( 770 x 768 ) / 295680
GCD(770, 768) = 591360 / 295680
GCD(770, 768) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
GCD(2, 32) = 64 / 32
GCD(2, 32) = 2
GCD of 770, 768, 32 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 768, 32?
GCD of 770, 768, 32 is 2
2. Where do I get the detailed procedure to find GCD of 770, 768, 32?
You can find a detailed procedure to find GCD of 770, 768, 32 on our page.
3. How to find GCD of 770, 768, 32 on a calculator?
You can find the GCD of 770, 768, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.