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 948, 250, 177, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 250, 177, 692 is 1
GCD(948, 250, 177, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 250, 177, 692 is 1
GCD(948, 250, 177, 692) = 1
Given Input numbers are 948, 250, 177, 692
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 948, 250, 177, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 250, 177, 692 is 1.
Therefore, GCD of numbers 948, 250, 177, 692 is 1
Given Input Data is 948, 250, 177, 692
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 177 is 3 x 59
Prime Factorization of 692 is 2 x 2 x 173
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(948, 250) = 118500
GCD(948, 250) = ( 948 x 250 ) / 118500
GCD(948, 250) = 237000 / 118500
GCD(948, 250) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 177) = 354
GCD(2, 177) = ( 2 x 177 ) / 354
GCD(2, 177) = 354 / 354
GCD(2, 177) = 1
Step3:
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
GCD of 948, 250, 177, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 250, 177, 692?
GCD of 948, 250, 177, 692 is 1
2. Where do I get the detailed procedure to find GCD of 948, 250, 177, 692?
You can find a detailed procedure to find GCD of 948, 250, 177, 692 on our page.
3. How to find GCD of 948, 250, 177, 692 on a calculator?
You can find the GCD of 948, 250, 177, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.