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 752, 673, 692, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 673, 692, 920 is 1
GCD(752, 673, 692, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 673, 692, 920 is 1
GCD(752, 673, 692, 920) = 1
Given Input numbers are 752, 673, 692, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 752, 673, 692, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 673, 692, 920 is 1.
Therefore, GCD of numbers 752, 673, 692, 920 is 1
Given Input Data is 752, 673, 692, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 673 is 673
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(752, 673) = 506096
GCD(752, 673) = ( 752 x 673 ) / 506096
GCD(752, 673) = 506096 / 506096
GCD(752, 673) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 752, 673, 692, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 673, 692, 920?
GCD of 752, 673, 692, 920 is 1
2. Where do I get the detailed procedure to find GCD of 752, 673, 692, 920?
You can find a detailed procedure to find GCD of 752, 673, 692, 920 on our page.
3. How to find GCD of 752, 673, 692, 920 on a calculator?
You can find the GCD of 752, 673, 692, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.