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 751, 742, 60, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 751, 742, 60, 265 is 1
GCD(751, 742, 60, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 751, 742, 60, 265 is 1
GCD(751, 742, 60, 265) = 1
Given Input numbers are 751, 742, 60, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 751, 742, 60, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 751, 742, 60, 265 is 1.
Therefore, GCD of numbers 751, 742, 60, 265 is 1
Given Input Data is 751, 742, 60, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 751 is 751
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 265 is 5 x 53
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(751, 742) = 557242
GCD(751, 742) = ( 751 x 742 ) / 557242
GCD(751, 742) = 557242 / 557242
GCD(751, 742) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
GCD of 751, 742, 60, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 751, 742, 60, 265?
GCD of 751, 742, 60, 265 is 1
2. Where do I get the detailed procedure to find GCD of 751, 742, 60, 265?
You can find a detailed procedure to find GCD of 751, 742, 60, 265 on our page.
3. How to find GCD of 751, 742, 60, 265 on a calculator?
You can find the GCD of 751, 742, 60, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.