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 135, 769, 974, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 769, 974, 757 is 1
GCD(135, 769, 974, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 769, 974, 757 is 1
GCD(135, 769, 974, 757) = 1
Given Input numbers are 135, 769, 974, 757
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 135, 769, 974, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 769, 974, 757 is 1.
Therefore, GCD of numbers 135, 769, 974, 757 is 1
Given Input Data is 135, 769, 974, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 769 is 769
Prime Factorization of 974 is 2 x 487
Prime Factorization of 757 is 757
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(135, 769) = 103815
GCD(135, 769) = ( 135 x 769 ) / 103815
GCD(135, 769) = 103815 / 103815
GCD(135, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
GCD of 135, 769, 974, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 769, 974, 757?
GCD of 135, 769, 974, 757 is 1
2. Where do I get the detailed procedure to find GCD of 135, 769, 974, 757?
You can find a detailed procedure to find GCD of 135, 769, 974, 757 on our page.
3. How to find GCD of 135, 769, 974, 757 on a calculator?
You can find the GCD of 135, 769, 974, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.