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 749, 791, 61, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 791, 61, 924 is 1
GCD(749, 791, 61, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 791, 61, 924 is 1
GCD(749, 791, 61, 924) = 1
Given Input numbers are 749, 791, 61, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 749, 791, 61, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 791, 61, 924 is 1.
Therefore, GCD of numbers 749, 791, 61, 924 is 1
Given Input Data is 749, 791, 61, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 791 is 7 x 113
Prime Factorization of 61 is 61
Prime Factorization of 924 is 2 x 2 x 3 x 7 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(749, 791) = 84637
GCD(749, 791) = ( 749 x 791 ) / 84637
GCD(749, 791) = 592459 / 84637
GCD(749, 791) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 61) = 427
GCD(7, 61) = ( 7 x 61 ) / 427
GCD(7, 61) = 427 / 427
GCD(7, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 749, 791, 61, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 791, 61, 924?
GCD of 749, 791, 61, 924 is 1
2. Where do I get the detailed procedure to find GCD of 749, 791, 61, 924?
You can find a detailed procedure to find GCD of 749, 791, 61, 924 on our page.
3. How to find GCD of 749, 791, 61, 924 on a calculator?
You can find the GCD of 749, 791, 61, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.