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 892, 974, 677, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 892, 974, 677, 741 is 1
GCD(892, 974, 677, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 892, 974, 677, 741 is 1
GCD(892, 974, 677, 741) = 1
Given Input numbers are 892, 974, 677, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 892, 974, 677, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 974, 677, 741 is 1.
Therefore, GCD of numbers 892, 974, 677, 741 is 1
Given Input Data is 892, 974, 677, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 974 is 2 x 487
Prime Factorization of 677 is 677
Prime Factorization of 741 is 3 x 13 x 19
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(892, 974) = 434404
GCD(892, 974) = ( 892 x 974 ) / 434404
GCD(892, 974) = 868808 / 434404
GCD(892, 974) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 677) = 1354
GCD(2, 677) = ( 2 x 677 ) / 1354
GCD(2, 677) = 1354 / 1354
GCD(2, 677) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 892, 974, 677, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 892, 974, 677, 741?
GCD of 892, 974, 677, 741 is 1
2. Where do I get the detailed procedure to find GCD of 892, 974, 677, 741?
You can find a detailed procedure to find GCD of 892, 974, 677, 741 on our page.
3. How to find GCD of 892, 974, 677, 741 on a calculator?
You can find the GCD of 892, 974, 677, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.