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 92, 674, 143, 978 i.e. 1 largest integer that divides all the numbers equally.
GCD of 92, 674, 143, 978 is 1
GCD(92, 674, 143, 978) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 92, 674, 143, 978 is 1
GCD(92, 674, 143, 978) = 1
Given Input numbers are 92, 674, 143, 978
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Greatest Common Divisior
We found the divisors of 92, 674, 143, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 674, 143, 978 is 1.
Therefore, GCD of numbers 92, 674, 143, 978 is 1
Given Input Data is 92, 674, 143, 978
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 674 is 2 x 337
Prime Factorization of 143 is 11 x 13
Prime Factorization of 978 is 2 x 3 x 163
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(92, 674) = 31004
GCD(92, 674) = ( 92 x 674 ) / 31004
GCD(92, 674) = 62008 / 31004
GCD(92, 674) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 143) = 286
GCD(2, 143) = ( 2 x 143 ) / 286
GCD(2, 143) = 286 / 286
GCD(2, 143) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
GCD of 92, 674, 143, 978 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 92, 674, 143, 978?
GCD of 92, 674, 143, 978 is 1
2. Where do I get the detailed procedure to find GCD of 92, 674, 143, 978?
You can find a detailed procedure to find GCD of 92, 674, 143, 978 on our page.
3. How to find GCD of 92, 674, 143, 978 on a calculator?
You can find the GCD of 92, 674, 143, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.