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 846, 754, 77, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 846, 754, 77, 245 is 1
GCD(846, 754, 77, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 846, 754, 77, 245 is 1
GCD(846, 754, 77, 245) = 1
Given Input numbers are 846, 754, 77, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 846, 754, 77, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 754, 77, 245 is 1.
Therefore, GCD of numbers 846, 754, 77, 245 is 1
Given Input Data is 846, 754, 77, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 77 is 7 x 11
Prime Factorization of 245 is 5 x 7 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(846, 754) = 318942
GCD(846, 754) = ( 846 x 754 ) / 318942
GCD(846, 754) = 637884 / 318942
GCD(846, 754) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
GCD of 846, 754, 77, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 846, 754, 77, 245?
GCD of 846, 754, 77, 245 is 1
2. Where do I get the detailed procedure to find GCD of 846, 754, 77, 245?
You can find a detailed procedure to find GCD of 846, 754, 77, 245 on our page.
3. How to find GCD of 846, 754, 77, 245 on a calculator?
You can find the GCD of 846, 754, 77, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.