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 754, 266, 62, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 754, 266, 62, 867 is 1
GCD(754, 266, 62, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 754, 266, 62, 867 is 1
GCD(754, 266, 62, 867) = 1
Given Input numbers are 754, 266, 62, 867
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 754, 266, 62, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 266, 62, 867 is 1.
Therefore, GCD of numbers 754, 266, 62, 867 is 1
Given Input Data is 754, 266, 62, 867
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 62 is 2 x 31
Prime Factorization of 867 is 3 x 17 x 17
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(754, 266) = 100282
GCD(754, 266) = ( 754 x 266 ) / 100282
GCD(754, 266) = 200564 / 100282
GCD(754, 266) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 62) = 62
GCD(2, 62) = ( 2 x 62 ) / 62
GCD(2, 62) = 124 / 62
GCD(2, 62) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 867) = 1734
GCD(2, 867) = ( 2 x 867 ) / 1734
GCD(2, 867) = 1734 / 1734
GCD(2, 867) = 1
GCD of 754, 266, 62, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 754, 266, 62, 867?
GCD of 754, 266, 62, 867 is 1
2. Where do I get the detailed procedure to find GCD of 754, 266, 62, 867?
You can find a detailed procedure to find GCD of 754, 266, 62, 867 on our page.
3. How to find GCD of 754, 266, 62, 867 on a calculator?
You can find the GCD of 754, 266, 62, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.