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 801, 749, 768, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 801, 749, 768, 435 is 1
GCD(801, 749, 768, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 801, 749, 768, 435 is 1
GCD(801, 749, 768, 435) = 1
Given Input numbers are 801, 749, 768, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
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 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 801, 749, 768, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 749, 768, 435 is 1.
Therefore, GCD of numbers 801, 749, 768, 435 is 1
Given Input Data is 801, 749, 768, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 749 is 7 x 107
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 435 is 3 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
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(801, 749) = 599949
GCD(801, 749) = ( 801 x 749 ) / 599949
GCD(801, 749) = 599949 / 599949
GCD(801, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 801, 749, 768, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 801, 749, 768, 435?
GCD of 801, 749, 768, 435 is 1
2. Where do I get the detailed procedure to find GCD of 801, 749, 768, 435?
You can find a detailed procedure to find GCD of 801, 749, 768, 435 on our page.
3. How to find GCD of 801, 749, 768, 435 on a calculator?
You can find the GCD of 801, 749, 768, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.