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 862, 759, 69, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 862, 759, 69, 297 is 1
GCD(862, 759, 69, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 862, 759, 69, 297 is 1
GCD(862, 759, 69, 297) = 1
Given Input numbers are 862, 759, 69, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
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 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 862, 759, 69, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 759, 69, 297 is 1.
Therefore, GCD of numbers 862, 759, 69, 297 is 1
Given Input Data is 862, 759, 69, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 862 is 2 x 431
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 69 is 3 x 23
Prime Factorization of 297 is 3 x 3 x 3 x 11
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(862, 759) = 654258
GCD(862, 759) = ( 862 x 759 ) / 654258
GCD(862, 759) = 654258 / 654258
GCD(862, 759) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 862, 759, 69, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 862, 759, 69, 297?
GCD of 862, 759, 69, 297 is 1
2. Where do I get the detailed procedure to find GCD of 862, 759, 69, 297?
You can find a detailed procedure to find GCD of 862, 759, 69, 297 on our page.
3. How to find GCD of 862, 759, 69, 297 on a calculator?
You can find the GCD of 862, 759, 69, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.