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 464, 974, 36, 946 i.e. 2 largest integer that divides all the numbers equally.
GCD of 464, 974, 36, 946 is 2
GCD(464, 974, 36, 946) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 974, 36, 946 is 2
GCD(464, 974, 36, 946) = 2
Given Input numbers are 464, 974, 36, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 464, 974, 36, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 974, 36, 946 is 2.
Therefore, GCD of numbers 464, 974, 36, 946 is 2
Given Input Data is 464, 974, 36, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 974 is 2 x 487
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 946 is 2 x 11 x 43
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(464, 974) = 225968
GCD(464, 974) = ( 464 x 974 ) / 225968
GCD(464, 974) = 451936 / 225968
GCD(464, 974) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 946) = 946
GCD(2, 946) = ( 2 x 946 ) / 946
GCD(2, 946) = 1892 / 946
GCD(2, 946) = 2
GCD of 464, 974, 36, 946 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 974, 36, 946?
GCD of 464, 974, 36, 946 is 2
2. Where do I get the detailed procedure to find GCD of 464, 974, 36, 946?
You can find a detailed procedure to find GCD of 464, 974, 36, 946 on our page.
3. How to find GCD of 464, 974, 36, 946 on a calculator?
You can find the GCD of 464, 974, 36, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.