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 61, 674, 846, 986 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 674, 846, 986 is 1
GCD(61, 674, 846, 986) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 674, 846, 986 is 1
GCD(61, 674, 846, 986) = 1
Given Input numbers are 61, 674, 846, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
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 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 61, 674, 846, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 674, 846, 986 is 1.
Therefore, GCD of numbers 61, 674, 846, 986 is 1
Given Input Data is 61, 674, 846, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 674 is 2 x 337
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 986 is 2 x 17 x 29
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(61, 674) = 41114
GCD(61, 674) = ( 61 x 674 ) / 41114
GCD(61, 674) = 41114 / 41114
GCD(61, 674) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
GCD of 61, 674, 846, 986 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 674, 846, 986?
GCD of 61, 674, 846, 986 is 1
2. Where do I get the detailed procedure to find GCD of 61, 674, 846, 986?
You can find a detailed procedure to find GCD of 61, 674, 846, 986 on our page.
3. How to find GCD of 61, 674, 846, 986 on a calculator?
You can find the GCD of 61, 674, 846, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.