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 749, 442, 36, 350 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 442, 36, 350 is 1
GCD(749, 442, 36, 350) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 442, 36, 350 is 1
GCD(749, 442, 36, 350) = 1
Given Input numbers are 749, 442, 36, 350
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
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 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Greatest Common Divisior
We found the divisors of 749, 442, 36, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 442, 36, 350 is 1.
Therefore, GCD of numbers 749, 442, 36, 350 is 1
Given Input Data is 749, 442, 36, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 350 is 2 x 5 x 5 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(749, 442) = 331058
GCD(749, 442) = ( 749 x 442 ) / 331058
GCD(749, 442) = 331058 / 331058
GCD(749, 442) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
GCD(1, 350) = 350 / 350
GCD(1, 350) = 1
GCD of 749, 442, 36, 350 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 442, 36, 350?
GCD of 749, 442, 36, 350 is 1
2. Where do I get the detailed procedure to find GCD of 749, 442, 36, 350?
You can find a detailed procedure to find GCD of 749, 442, 36, 350 on our page.
3. How to find GCD of 749, 442, 36, 350 on a calculator?
You can find the GCD of 749, 442, 36, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.