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 757, 413, 67, 277 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 413, 67, 277 is 1
GCD(757, 413, 67, 277) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 413, 67, 277 is 1
GCD(757, 413, 67, 277) = 1
Given Input numbers are 757, 413, 67, 277
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Greatest Common Divisior
We found the divisors of 757, 413, 67, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 413, 67, 277 is 1.
Therefore, GCD of numbers 757, 413, 67, 277 is 1
Given Input Data is 757, 413, 67, 277
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 413 is 7 x 59
Prime Factorization of 67 is 67
Prime Factorization of 277 is 277
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(757, 413) = 312641
GCD(757, 413) = ( 757 x 413 ) / 312641
GCD(757, 413) = 312641 / 312641
GCD(757, 413) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
GCD(1, 277) = 277 / 277
GCD(1, 277) = 1
GCD of 757, 413, 67, 277 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 413, 67, 277?
GCD of 757, 413, 67, 277 is 1
2. Where do I get the detailed procedure to find GCD of 757, 413, 67, 277?
You can find a detailed procedure to find GCD of 757, 413, 67, 277 on our page.
3. How to find GCD of 757, 413, 67, 277 on a calculator?
You can find the GCD of 757, 413, 67, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.