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 35, 892, 757, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 892, 757, 968 is 1
GCD(35, 892, 757, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 892, 757, 968 is 1
GCD(35, 892, 757, 968) = 1
Given Input numbers are 35, 892, 757, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 35, 892, 757, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 892, 757, 968 is 1.
Therefore, GCD of numbers 35, 892, 757, 968 is 1
Given Input Data is 35, 892, 757, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 757 is 757
Prime Factorization of 968 is 2 x 2 x 2 x 11 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(35, 892) = 31220
GCD(35, 892) = ( 35 x 892 ) / 31220
GCD(35, 892) = 31220 / 31220
GCD(35, 892) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 35, 892, 757, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 892, 757, 968?
GCD of 35, 892, 757, 968 is 1
2. Where do I get the detailed procedure to find GCD of 35, 892, 757, 968?
You can find a detailed procedure to find GCD of 35, 892, 757, 968 on our page.
3. How to find GCD of 35, 892, 757, 968 on a calculator?
You can find the GCD of 35, 892, 757, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.