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 945, 692, 25, 994 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 692, 25, 994 is 1
GCD(945, 692, 25, 994) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 692, 25, 994 is 1
GCD(945, 692, 25, 994) = 1
Given Input numbers are 945, 692, 25, 994
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Greatest Common Divisior
We found the divisors of 945, 692, 25, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 692, 25, 994 is 1.
Therefore, GCD of numbers 945, 692, 25, 994 is 1
Given Input Data is 945, 692, 25, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 25 is 5 x 5
Prime Factorization of 994 is 2 x 7 x 71
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(945, 692) = 653940
GCD(945, 692) = ( 945 x 692 ) / 653940
GCD(945, 692) = 653940 / 653940
GCD(945, 692) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
GCD(1, 994) = 994 / 994
GCD(1, 994) = 1
GCD of 945, 692, 25, 994 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 692, 25, 994?
GCD of 945, 692, 25, 994 is 1
2. Where do I get the detailed procedure to find GCD of 945, 692, 25, 994?
You can find a detailed procedure to find GCD of 945, 692, 25, 994 on our page.
3. How to find GCD of 945, 692, 25, 994 on a calculator?
You can find the GCD of 945, 692, 25, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.