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 992, 507, 924, 140 i.e. 1 largest integer that divides all the numbers equally.
GCD of 992, 507, 924, 140 is 1
GCD(992, 507, 924, 140) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 507, 924, 140 is 1
GCD(992, 507, 924, 140) = 1
Given Input numbers are 992, 507, 924, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
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
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 992, 507, 924, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 507, 924, 140 is 1.
Therefore, GCD of numbers 992, 507, 924, 140 is 1
Given Input Data is 992, 507, 924, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 140 is 2 x 2 x 5 x 7
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(992, 507) = 502944
GCD(992, 507) = ( 992 x 507 ) / 502944
GCD(992, 507) = 502944 / 502944
GCD(992, 507) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
GCD of 992, 507, 924, 140 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 992, 507, 924, 140?
GCD of 992, 507, 924, 140 is 1
2. Where do I get the detailed procedure to find GCD of 992, 507, 924, 140?
You can find a detailed procedure to find GCD of 992, 507, 924, 140 on our page.
3. How to find GCD of 992, 507, 924, 140 on a calculator?
You can find the GCD of 992, 507, 924, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.